Effects of Coloration of Spinel CoAl 2 O 4 Cobalt Blue Pigments: Composition, Structure, and Cation Distribution

: Cobalt blue ceramic pigments mainly consisting of CoAl 2 O 4 are subject to the difﬁculty of color control. Here, a perspective is reported regarding research on the reasons for color change based on the control of the heat treatment and ratio of components. Macroscopically, the composition of pigment powders determines the color. Microscopically, the crystallite characters including size, cation distribution, and structure have an important effect on the color. The ingredient, structural, and color properties of the pigment powders are analyzed using thermo gravimetry–differential scanning calorimetry (TG–DSC), X-ray diffraction (XRD) measurement, Rietveld reﬁnement, energy dispersive spectrometer (EDS), and colorimetry analysis. The color is proven to be associated with cation distribution, such as that of Co 2+ and Co 3+ . It is indicated that high heating temperature, long heating time, and a large proportion of Al 3+ can, respectively, induce the Co 2+ and Al 3+ in tetrahedral and octahedral sites.


Introduction
Spinel, a class of cubic crystal structure, is widely researched and applied in many fields related to thermal and chemical stability [1][2][3] such as catalysts [4,5], pigments [6,7], and refractories.The general formula of spinel could be described as AB 2 O 4 (shown in Figure 1), in which ions A and B occupy the tetrahedral and octahedral fully or partly [8,9].Ions A and B are usually divalent, trivalent, or quadrivalent transitional cations, including zinc, magnesium, titanium, iron, chromium, cobalt, and aluminum, etc.
CoAl 2 O 4 powders acting as the main composition of cobalt blue ceramic pigments are widely used in the ceramics industry [1,[10][11][12][13][14]. Cobalt blue pigment is an excellent choice for use in underglaze ceramic products because it possesses high stability in coloration and phase at a high temperature, even above 1360 • C [15].Thus, it can be utilized in underglazed ceramic products, which should have physicochemical and colorimetry stability under a high temperature, over 1300 • C. In recent years, many preparations of CoAl 2 O 4 have been introduced, including the co-precipitation method [16][17][18], solution combustion [19,20], grinding and calcining method, molten salt decomposition method, sol-gel method [21], hydrothermal method [22], etc.Among these methods, co-precipitation and sol-gel methods prove helpful for a tiny crystallite size, high purity, and few side reactions.
Pigments mainly composed of CoAl 2 O 4 are reported to exhibit different colors, not only sky-blue or Thenard's blue.From the research of Gaudon et al., the pigments present blue and cyan colors after doping Zn 2+ and Ni 2+ in the spinel structure [23].Even the CoAl 2 O 4 can show the color change from a pink to pale violet color when certain numbers of Co 2+ substitute the Al 3+ in octahedral sites and the crystallite size is little enough [24].Apart from the key reason, cation distribution and coloration also change with the crystallite scale from 0.1 to 10 nm [25,26].
Co 3+ and then occupy both the tetrahedral and octahedral sites partly, which will cause changes in the crystal structure including lattice parameter, bond length, ion radii, etc.
In this paper, CoAl2O4 powders are elaborated by the co-precipitation method and sintered under different temperatures (250, 500, 800, 1200, 1400 °C).The macroscopical and microscopical factors are deeply discussed including composition, cation distribution, and cation transfer trend related to the increasing ratio and heating temperatures and time.Based on these, the color effects and changing trends corresponding to the ratio and heating condition are obviously reported.These can be a color prediction of the hightemperature CoAl2O4 pigments and a reference for the doped, cobalt blue pigments through controlling the preparation condition during the fabrication process.

Crystal Phases after Heat Treatment at Different Temperatures
The precursors of cobalt blue pigments are analyzed to figure out the thermal influences on pigments using TG-DSC, which can describe the thermodynamic changes during the heat treatment.Figure 2 demonstrates the TG-DSC curve of the precursor sample sintered in an air atmosphere.Two ranges of room temperature-240 °C and 310-430 °C present obvious weight loss, which could represent the loss of free and bound water, respectively [31].At the same ranges, the DSC curve does not show any endothermic peaks.With the large scale and sophisticated development of the ceramics industry, pigments with a high stability, fine particle size, and an easily controlled color have lots of advantages, but nowadays many factories are suffering from the color inconsistency of different batches of pigments.The main shortcoming of the current CoAl 2 O 4 pigments is that the coloration [27], including hue and saturation, is hard to control; even the discipline of color based on the crystal structures is indistinct.If this problem is solved effectively, not only color accuracy will be improved, but also the cost of raw materials and thermal treatment [11,13,[28][29][30] during aluminum over-stoichiometric spinel synthesis can be cut down.
The reason for color differences consists of two main parts.On the macro-level, related impurities from side reactions are generated during the preparation process.The impurities are associated with the selection of raw materials, the temperature of heat-treatment, pH value, etc.On the micro-level, the free Co 2+ and Al 3+ cannot stay in the tetrahedral and octahedral sites fully and respectively.In addition, Co 2+ can transform into Co 3+ and then occupy both the tetrahedral and octahedral sites partly, which will cause changes in the crystal structure including lattice parameter, bond length, ion radii, etc.
In this paper, CoAl 2 O 4 powders are elaborated by the co-precipitation method and sintered under different temperatures (250, 500, 800, 1200, 1400 • C).The macroscopical and microscopical factors are deeply discussed including composition, cation distribution, and cation transfer trend related to the increasing ratio and heating temperatures and time.Based on these, the color effects and changing trends corresponding to the ratio and heating condition are obviously reported.These can be a color prediction of the high-temperature CoAl 2 O 4 pigments and a reference for the doped, cobalt blue pigments through controlling the preparation condition during the fabrication process.

Crystal Phases after Heat Treatment at Different Temperatures
The precursors of cobalt blue pigments are analyzed to figure out the thermal influences on pigments using TG-DSC, which can describe the thermodynamic changes during the heat treatment.Figure 2 demonstrates the TG-DSC curve of the precursor sample sintered in an air atmosphere.Two ranges of room temperature-240 • C and 310-430 • C present obvious weight loss, which could represent the loss of free and bound water, respectively [31].At the same ranges, the DSC curve does not show any endothermic peaks.In the range from 240 to 310 • C, the stair of weight loss indicates the transformation of precursors to the crystal phase [32].From the relative DSC curve, a specific exothermic peak occurs at 282 • C, probably related to the burning of ethanol [33].The weight loss in the TG curve turns to be stable when the temperature is above 480 • C, which also indicates the gradually stable phase and the formation of a solid solution with cobalt and aluminum ions.The reaction rate declines as the temperature increases, and the exothermal maximum in the DSC curve occurs at 943 • C, while the reaction does not stop completely.Combined with the TG results, it demonstrates that the sample transforms from amorphous phases to relatively stable phases gradually [34].The loss of weight during the heat-treatment is 20.75%, and the low weight loss (2.82%) in the range of 1000-1400 • C reveals the high thermal stability of the underglaze pigments.
Inorganics 2023, 11, x FOR PEER REVIEW 3 of 13 In the range from 240 to 310 °C, the stair of weight loss indicates the transformation of precursors to the crystal phase [32].From the relative DSC curve, a specific exothermic peak occurs at 282 °C, probably related to the burning of ethanol [33].The weight loss in the TG curve turns to be stable when the temperature is above 480 °C, which also indicates the gradually stable phase and the formation of a solid solution with cobalt and aluminum ions.The reaction rate declines as the temperature increases, and the exothermal maximum in the DSC curve occurs at 943 °C, while the reaction does not stop completely.
Combined with the TG results, it demonstrates that the sample transforms from amorphous phases to relatively stable phases gradually [34].The loss of weight during the heattreatment is 20.75%, and the low weight loss (2.82%) in the range of 1000-1400 °C reveals the high thermal stability of the underglaze pigments.The XRD spectra of cobalt blue pigment powders after the heat treatment at different temperatures are presented in Figure 3.According to JCPDS-ICDD cards [35], the as-fabricated CoAl2O4 powders are composed with a relatively pure spinel structure (Fd-3m space group) at 1400 °C.Obviously, the higher the temperature the powders sinter at, the sharper the peaks it will present in the patterns, which means the formation of purer spinel structural phases and a larger particle scale.The peaks on the XRD pattern of the material heat-treated at 250 °C indicate the beginning of the transformation to the spinel structure.In the temperature range of 800-1200 °C, substantial spinel phases form but the phase transformation is not obvious, corresponding with the decrease in the reaction rate seen in the DSC curve (Figure 2).
As represented in Figure 4, the EDS spectrum also confirms the composition of the as-prepared powders at 1400 °C.The EDS spectrum and elemental composition (Table 1) present the composition and the ratio of the pigment powders, agreeing with the XRD results.The ratio of Co and Al still remains as about 1:2, which is in accordance with the experimental design.According to JCPDS-ICDD cards [35,36], the peaks (220), (311), (400), (331), (422), (511), and (440) mainly correspond to a cubic spinel structure.Beginning from 1200 °C, the peak (331) occurs and becomes distinct at 1400 °C, which reveals the formation of the main phase, CoAl2O4.The powders heated at 250 °C, 500 °C, and 800 °C are mainly with a spinel phase, with ions occupying the tetrahedral and octahedral positions.However, it seems to be hard to determine the specific phase for diverse cation types.As the heat temperature rises, the main phase transfers to a concrete phase, CoAl2O4, gradually.The ratio of the second strongest to the strongest peak is introduced to distinguish two possible phases, Co3O4 and Co2AlO4, because they have similar XRD spectra, and the  The XRD spectra of cobalt blue pigment powders after the heat treatment at different temperatures are presented in Figure 3.According to JCPDS-ICDD cards [35], the asfabricated CoAl 2 O 4 powders are composed with a relatively pure spinel structure (Fd-3m space group) at 1400 • C. Obviously, the higher the temperature the powders sinter at, the sharper the peaks it will present in the patterns, which means the formation of purer spinel structural phases and a larger particle scale.The peaks on the XRD pattern of the material heat-treated at 250 • C indicate the beginning of the transformation to the spinel structure.In the temperature range of 800-1200 • C, substantial spinel phases form but the phase transformation is not obvious, corresponding with the decrease in the reaction rate seen in the DSC curve (Figure 2).
As represented in Figure 4, the EDS spectrum also confirms the composition of the as-prepared powders at 1400 • C. The EDS spectrum and elemental composition (Table 1) present the composition and the ratio of the pigment powders, agreeing with the XRD results.The ratio of Co and Al still remains as about 1:2, which is in accordance with the experimental design.According to JCPDS-ICDD cards [35,36], the peaks (220), (311), (400), (331), (422), (511), and (440) mainly correspond to a cubic spinel structure.Beginning from 1200 • C, the peak (331) occurs and becomes distinct at 1400 • C, which reveals the formation of the main phase, CoAl 2 O 4 .The powders heated at 250 • C, 500 • C, and 800 • C are mainly with a spinel phase, with ions occupying the tetrahedral and octahedral positions.However, it seems to be hard to determine the specific phase for diverse cation types.As the heat temperature rises, the main phase transfers to a concrete phase, CoAl 2 O 4 , gradually.The ratio of the second strongest to the strongest peak is introduced to distinguish two possible phases, Co 3 O 4 and Co 2 AlO 4 , because they have similar XRD spectra, and the same Miller index but different intensities [36].The former I(220)/I(311) is 0.7 and the latter one is 0.309.Different phases after heat treatment at different temperatures make the pigment powders present different colors.Essentially, the hue is influenced by the cation distribution of Co 2+ and Co 3+ in the spinel framework with a Fd-3m space group.Both the existence of Co 3 O 4 (one Co 2+ ion in the tetrahedral site and two Co 3+ ions in the octahedral site) and Co 2 AlO 4 (one Co 2+ ion in tetrahedral site and one Co 3+ ions in octahedral site) can affect the purity and coloration of cobalt blue pigments.Co 3 O 4 and Co 2 AlO 4 will make the color of pigments darker and greener, respectively.The XRD spectra show that the fabrication temperature of pure CoAl 2 O 4 pigment powders should be 1200 • C or more.Because of the low diffusion rate, many Co 2+ and Co 3+ ions are in tetrahedral and octahedral positions, respectively, at temperatures below 1200 • C, opposite to the ideal phase structure.
same Miller index but different intensities [36].The former I(220)/I(311) is 0.7 and the latter one is 0.309.Different phases after heat treatment at different temperatures make the pigment powders present different colors.Essentially, the hue is influenced by the cation distribution of Co 2+ and Co 3+ in the spinel framework with a Fd-3m space group.Both the existence of Co3O4 (one Co 2+ ion in the tetrahedral site and two Co 3+ ions in the octahedral site) and Co2AlO4 (one Co 2+ ion in tetrahedral site and one Co 3+ ions in octahedral site) can affect the purity and coloration of cobalt blue pigments.Co3O4 and Co2AlO4 will make the color of pigments darker and greener, respectively.The XRD spectra show that the fabrication temperature of pure CoAl2O4 pigment powders should be 1200 °C or more.Because of the low diffusion rate, many Co 2+ and Co 3+ ions are in tetrahedral and octahedral positions, respectively, at temperatures below 1200 °C, opposite to the ideal phase structure.

Influence Factors of Structural Properties
Composite pigments primarily consist of transition metals from the d-block of the periodic table and the molecules or ions (ligands) that bind to these metals.The fundamental source of its color is the absorption of visible light to produce d-d electronic same Miller index but different intensities [36].The former I(220)/I(311) is 0.7 and the latter one is 0.309.Different phases after heat treatment at different temperatures make the pigment powders present different colors.Essentially, the hue is influenced by the cation distribution of Co 2+ and Co 3+ in the spinel framework with a Fd-3m space group.Both the existence of Co3O4 (one Co 2+ ion in the tetrahedral site and two Co 3+ ions in the octahedral site) and Co2AlO4 (one Co 2+ ion in tetrahedral site and one Co 3+ ions in octahedral site) can affect the purity and coloration of cobalt blue pigments.Co3O4 and Co2AlO4 will make the color of pigments darker and greener, respectively.The XRD spectra show that the fabrication temperature of pure CoAl2O4 pigment powders should be 1200 °C or more.Because of the low diffusion rate, many Co 2+ and Co 3+ ions are in tetrahedral and octahedral positions, respectively, at temperatures below 1200 °C, opposite to the ideal phase structure.

Influence Factors of Structural Properties
Composite pigments primarily consist of transition metals from the d-block of the periodic table and the molecules or ions (ligands) that bind to these metals.The fundamental source of its color is the absorption of visible light to produce d-d electronic

Influence Factors of Structural Properties
Composite pigments primarily consist of transition metals from the d-block of the periodic table and the molecules or ions (ligands) that bind to these metals.The fundamental source of its color is the absorption of visible light to produce d-d electronic transitions.The appearance of peaks (331) reveals the formation of CoAl 2 O 4 , and the purity of CoAl 2 O 4 rises as the sintering temperature increases.Thus, the main reason for the coloration is related to the crystallite structure.

Crystallite Size
Table 2 presents the crystallite size, Xs, of the pigment powders of different batches.The error of the size estimation is 6%.Over 1200 • C, the crystallite size grows with the temperature and time increasing.As is known from previous research, the crystallite size of pigments can affect the optical performance if the scale is between 0.1 and 10 nm [25,26].From the analysis data, the scale of the crystallite is not enough to influence the coloration.

Cation Distribution
The formation of a cobalt blue pigment spinel structure for the (Co x Al 1−x )[Al 1+x Co 1−x ]O 4 (0 ≤ x ≤ 1) system was confirmed by XRD patterns in Figure 5.The fitting profiles and R-factor of the samples are shown as an example in Figure 6.The result is obtained from Retvield refinement using the program Jade.The cation distribution data, including cation position and lattice parameter, are shown in Table 3.Other structural parameters are included in Table 4 for reference.The ratio of cobalt and aluminum is 1:2 in the sample, and the prescription of Sample 2 contains excessive aluminum.For the normal ratio part, a high heating temperature and long heating time are both related to the increase in the lattice parameter.Compared with the normal ratio samples, the amount of Co 3+ transferring from the octahedral site to the tetrahedral site enlarges in the crystallite of sample 2. At the same time, the Co 3+ converts into divalent Co, but the quantity of Co 3+ in octahedral sites grows correspondingly.Compared with the sample heated at 1400 °C, the stoichiometric ratio, cation position, and lattice parameter of sample should be researched in the future to prepare various pigments, and cation distrib may be helpful to control and predict the coloration of pigments.Alongside the f mentioned above, cation substitution should also be considered in the preparation solid solution, not only for the color, but also for other properties like magnetic and lytic performance.and 1400 • C for 1 h, the data demonstrate the similar phase and structural properties of them.Moreover, the increase in the aluminum ratio can also promote the occupation of Co 2+ in the tetrahedral site and Al 3+ in the octahedral site.Throughout the increases in the heating time, temperature, and Al element ratio, they all enhance the Al 3+ substitution into the Co 3+ octahedral site, and "push" a part of the Co ions into tetrahedral sites, with the preference of "pushing" the Co 3+ toward the octahedral.Combined with Table 2, heating sample 1 at 1200 • C for 3 h and 1400 • C for 1 h presents a similar phase.At a low temperature, sample 1, nevertheless, obtains a thinner crystallite size, larger crystalline interfaces, and more curved grain boundaries which are unfavorable for crack propagation and development, resulting in better strength and toughness [37,38].And, increasing the ratio of aluminum can encourage the cation transfer to the normal position in the crystallite to obtain high-quality cobalt blue pigments.Some researchers also demonstrate that the Co/Al ratio should not exceed 0.3 to obtain pure CoAl 2 O 4 [39].Gaudon et al. report the same results and explain that the excessive Al 3+ ratio prevents the occurrence of Co ions in octahedral sites due to its higher octahedral site preference energy [23].
Cation distribution is significant to the coloration of cobalt blue and many other kinds of pigments.From our research, controlling the heat treatment and doping of excessive ions in the formula prove effective.To fabricate other relational colors, some cations also have effects on the coloration, such as Ni 2+ and Mg 2+ .They can substitute the Co 2+ in tetrahedral sites and endow the crystallite with a cyan hue [23].Hence, cation substitution should be researched in the future to prepare various pigments, and cation distribution may be helpful to control and predict the coloration of pigments.Alongside the factors mentioned above, cation substitution should also be considered in the preparation of the solid solution, not only for the color, but also for other properties like magnetic and catalytic performance.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Color Analysis
The selected colorimetry analysis system is CIE-L*a*b* value, and the test result is shown in Table 5. L* represents the brightness, with a value from 0 to 100; a* stands for the component from green to red, with a value from −128 to 127; b* stands for the component from blue to yellow, with a value from −128 to 127 [40].The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 °C appears close to black, owing to the Co3O4 acting as the main phase.Starting from 1200 °C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl2O4.This is consistent with XRD patterns in Figure 2. Samples heated at 1200 °C for 3 h and 1400 °C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl2O4.
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co3O4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 °C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl2O4.Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.
The colorimetric analysis of the samples after heat treatment at different temperatures and time with different ratios are presented.The color of the samples heated at 500 and 800 • C appears close to black, owing to the Co 3 O 4 acting as the main phase.Starting from 1200 • C, the coloration of samples turns from black to blue, which corresponds to the formation of CoAl 2 O 4 .This is consistent with XRD patterns in Figure 2. Samples heated at 1200 • C for 3 h and 1400 • C for 1 h present analogous L*a*b* values, which can confirm the results of XRD refinement data, i.e., the similar phases of the two samples.The increase in the aluminum ratio proves effective in color because the value b* shifts obviously toward blue, which is also in agreement with the report by Gaudon [41].Throughout all colorimetric values of rising temperature, high temperature and an appropriate ratio provide the best conditions for the formation of CoAl 2 O 4 .
In essence, the cation distribution should combine with the color.Cobalt, the color element in the spinel, decides on the coloration depending on the valence and site.The distributions of Co 2+ and Co 3+ in tetrahedral or octahedral sites do not have an obvious connection with the L* value.In another word, the cation distribution in the cobalt spinel could have nothing to do with the brightness.The value of a* has a little bit of connection with the position of Co 3+ , but this little influence is not specific to the naked eye in our samples.The degree of blue is mainly related to the b* value.It proposed that if too many Co 2+ occupy the tetrahedral sites, the b* value can be smaller.
Diffuse absorbance spectra are an auxiliary approach to the colorimetry analysis of spectroscopic data, and also the variation in the cobalt ions.Figure 7 presents the UV-vis absorption spectra of cobalt blue pigments with diverse formulas, heat temperatures, and heat times.All the spectra show the intensive absorption of visible light in the range of 500-700 nm, especially for the ones heated with high temperatures, which corresponds to the blue color region.Moreover, the absorptions at about 380 and 590 nm represent Co 3+ in octahedral sites and Co 2+ in tetrahedral sites, respectively [42].This is also characterized as a Co 3 O 4 cluster due to two board bands at around 380 and 700 nm for the samples sintered at 500 • C [43,44].As the temperature increases, these absorptions turn out to be weak.The maximal absorptions at near 540, 590, and 640 nm turn to become clear with the heat temperature increase, which indicates the formation of CoAl 2 O 4 .Additionally, the decline in absorption at about 380 nm shows the decrease in Co 3+ in octahedral sites, resulting in a reduction in the green shade.

Synthesis Process
Figure 8 illustrates the fabrication process of samples in this study.With a molar ratio of 1:2, cobalt acetate (C4H6CoO4•4H2O, Aladdin Corp., Shanghai, China) and aluminum nitrate (Al(NO3)3•9H2O, Aladdin Corp., Shanghai, China) were dissolved separately in water, and then they were mixed together.Under magnetic stirring at 500 rpm, NH3•H2O was added dropwise to reach a pH of about 9; however, the quantity of the NH3•H2O can be a little more than needed.Then, we continued to stir for 2.5 h to mix them homogeneously.The precursors were separated with a centrifugal machine, and then the precipitates were washed with absolute ethanol to neutralize them in order to obtain cobalt and aluminum hydroxide alcohol mixtures.Then, the jelly-like gel was subject to heat treatment and sintering at 250 °C, 500 °C, 800 °C, 1200 °C, and 1400 °C for 1 h each.The fabrication process was repeated with an excessive proportion of aluminum (ratio of cobalt and aluminum is 1:3) to obtain another batch of precursors.Then, they were heated under different temperatures.was added dropwise to reach a pH of about 9; however, the quantity of the NH 3 •H 2 O can be a little more than needed.Then, we continued to stir for 2.5 h to mix them homogeneously.The precursors were separated with a centrifugal machine, and then the precipitates were washed with absolute ethanol to neutralize them in order to obtain cobalt and aluminum hydroxide alcohol mixtures.Then, the jelly-like gel was subject to heat treatment and sintering at 250 • C, 500 • C, 800 • C, 1200 • C, and 1400 • C for 1 h each.The fabrication process was repeated with an excessive proportion of aluminum (ratio of cobalt and aluminum is 1:3) to obtain another batch of precursors.Then, they were heated under different temperatures.
where D is the average thickness of the crystal grain perpendicular of the crystal plane, K is the Scherrer constant, γ is the X-ray wavelength (generally 1.54056 Å), B is the half-height width or integral width of the measured sample diffraction peak, and θ is the Bragg angle in degrees.
where D is the average thickness of the crystal grain perpendicular of the crystal plane, K is the Scherrer constant, γ is the X-ray wavelength (generally 1.54056 Å), B is the halfheight width or integral width of the measured sample diffraction peak, and θ is the Bragg angle in degrees.

Conclusions
In this paper, we have prepared cobalt blue pigments using the coprecipitation method, where the heating temperature, time, and ratio of cobalt and aluminum have been set as the variables.The as-fabricated samples were investigated using TG-DSC, XRD, EDS, and colorimetry analysis.Then, Rietveld refinement was implemented to obtain the crystallite data, including the crystallite size, cation distribution, chemical formula, and lattice parameter.
The color change is related to macro and micro perspectives.On the one hand, the color is corresponding to the composition.When the heating temperature is under 800 °C, Co 3+ exists in the octahedral site of spinel, so the color appears to lack a blue hue.On the other hand, when the sintering temperature comes to 1200 °C or more, the phase of CoAl2O4 will become purer.Co 2+ in the tetrahedral sites can make the b* value small,

Conclusions
In this paper, we have prepared cobalt blue pigments using the coprecipitation method, where the heating temperature, time, and ratio of cobalt and aluminum have been set as the variables.The as-fabricated samples were investigated using TG-DSC, XRD, EDS, and colorimetry analysis.Then, Rietveld refinement was implemented to obtain the crystallite data, including the crystallite size, cation distribution, chemical formula, and lattice parameter.
The color change is related to macro and micro perspectives.On the one hand, the color is corresponding to the composition.When the heating temperature is under 800 • C, Co 3+ exists in the octahedral site of spinel, so the color appears to lack a blue hue.On the other hand, when the sintering temperature comes to 1200 • C or more, the phase of CoAl 2 O 4 will become purer.Co 2+ in the tetrahedral sites can make the b* value small, which indicates that the color of the samples tends to be blue.The cation distribution could be controlled by the heat treatment and stoichiometric ratio.High heat-treatment temperature, long heat-treatment time, and excessive aluminum content play important roles in controlling the cation positions for pure cobalt blue pigments.The results have the potential for energy saving and color prediction in the fabrication process of cobalt blue and other related Co-based pigments.

Figure 1 .
Figure 1.The crystal structure of AB 2 O 4 .

Figure 4 .
Figure 4. EDS spectrum of the CoAl2O4 sample heating at 1400 °C.

Figure 4 .
Figure 4. EDS spectrum of the CoAl2O4 sample heating at 1400 °C.

Figure 4 .
Figure 4. EDS spectrum of the CoAl 2 O 4 sample heating at 1400 • C.

Figure 5 .
Figure 5. XRD patterns of samples in different conditions.Sample 1 is fabricated by the ratio of Co and Al equal to 1:2; sample 2 is fabricated by excessive Al.

Figure 5 .
Figure 5. XRD patterns of samples in different conditions.Sample 1 is fabricated by the ratio of Co and Al equal to 1:2; sample 2 is fabricated by excessive Al.

Figure 6 .
Figure 6.Rietveld analysis results of (a) sample 1 after 1200 °C heat treatment for 1 h, (b) sa after 1200 °C heat treatment for 1 h, (c) sample 1 after 1200 °C heat treatment for 3 h, (d) sa after 1400 °C heat treatment for 1 h, and (e) sample 2 after 1400 °C heat treatment for 1 h, inc fitting pattern, residual curve, Bragg reflection position, and R−factor.

Figure 6 .
Figure 6.Rietveld analysis results of (a) sample 1 after 1200 • C heat treatment for 1 h, (b) sample 2 after 1200 • C heat treatment for 1 h, (c) sample 1 after 1200 • C heat treatment for 3 h, (d) sample 1 after 1400 • C heat treatment for 1 h, and (e) sample 2 after 1400 • C heat treatment for 1 h, including fitting pattern, residual curve, Bragg reflection position, and R−factor.For the normal ratio part, a high heating temperature and long heating time are both related to the increase in the lattice parameter.Compared with the normal ratio samples, the amount of Co 3+ transferring from the octahedral site to the tetrahedral site enlarges in the crystallite of sample 2. At the same time, the Co 3+ converts into divalent Co, but the quantity of Co 3+ in octahedral sites grows correspondingly.Compared with the sample heated at 1400 • C, the stoichiometric ratio, cation position, and lattice parameter of sample 1 at 1200 • C are all close to those of Co 2 AlO 4 because the Co 2 AlO 4 (described as (Co)[CoAl]O 4 ) has one Co 2+ in the tetrahedral site and one Co 3+ and one Al 3+ in the octahedral site, with a smaller lattice parameter than CoAl 2 O 4 .Moreover, whether the heating time or temperature increases, the main phase can change into CoAl 2 O 4 in line with cation distribution.The result confirms the analysis of Figure 3 which indicates the formation of CoAl 2 O 4 for the first time at 1200 • C, becoming purer and purer as the temperature rises.Focusing on the cation distribution of sample 1 heated at 1200 • C for 3 h

Figure 7 .
Figure 7. UV-vis absorbance spectra of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Figure 7 .
Figure 7. UV-vis absorbance spectra of CoAl 2 O 4 pigment powders after heat treatment at different temperatures and times.

Figure 8
Figure 8 illustrates the fabrication process of samples in this study.With a molar ratio of 1:2, cobalt acetate (C 4 H 6 CoO 4 •4H2 O, Aladdin Corp., Shanghai, China) and aluminum nitrate (Al(NO 3 ) 3 •9H 2 O, Aladdin Corp., Shanghai, China) were dissolved separately in water, and then they were mixed together.Under magnetic stirring at 500 rpm, NH 3 •H 2 O was added dropwise to reach a pH of about 9; however, the quantity of the NH 3 •H 2 O can be a little more than needed.Then, we continued to stir for 2.5 h to mix them homogeneously.The precursors were separated with a centrifugal machine, and then the precipitates were washed with absolute ethanol to neutralize them in order to obtain cobalt and aluminum hydroxide alcohol mixtures.Then, the jelly-like gel was subject to heat treatment and sintering at 250 • C, 500 • C, 800 • C, 1200 • C, and 1400 • C for 1 h each.The fabrication process was repeated with an excessive proportion of aluminum (ratio of cobalt and aluminum is 1:3) to obtain another batch of precursors.Then, they were heated under different temperatures.

Figure 8 .
Figure 8. Synthesis process of cobalt blue pigments.

Figure 8 .
Figure 8. Synthesis process of cobalt blue pigments.

Table 1 .
Composition parameters of the CoAl2O4 sample heated at 1400 °C.

Table 1 .
Composition parameters of the CoAl2O4 sample heated at 1400 °C.

Table 1 .
Composition parameters of the CoAl 2 O 4 sample heated at 1400 • C.
The coloration of CoAl 2 O 4 is mainly determined by the central ions in the tetrahedral and octahedral coordination fields.Concerning the CoAl 2 O 4 spinel, they are Co 2+ and Al 3+ , but Al 3+ is colorless because of the completely empty d electron shell.The main reason for the coloration of CoAl 2 O 4 is Co 2+ .

Table 2 .
Crystallite size of CoAl 2 O 4 pigment powders after heat treatment at different temperatures and times.

Table 3 .
Cation distribution data calculated from the Rietveld refinement of (Co x Al 1−x )[Al 1+x Co 1−x ]O 4 (0 ≤ x ≤ 1) system after heat treatment at different temperatures and times.

Table 4 .
Structural parameters CoAl 2 O 4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl 2 O 4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.

Table 5 .
CIE-L*a*b* colorimetric analysis of CoAl2O4 pigment powders after heat treatment at different temperatures and times.