Optical Transmittance Model Construction for ZnO Transparent Ceramic and Experimental Verification

doi:10.15541/jim20180418

Abstract

Abstract:

The influence of birefringent light scattering on in-line optical transmittance model depended on uniaxial hexagonal crystal structure transparent ceramics using ZnO as research object has been established based on Mie theory and its developed approximation Rayleigh-Gans-Debye scatting theory. Theoretical calculation indicates that in-line optical transmittance of ZnO transparent ceramics improves obviously with the decrease of grain size and increase of orientation. ZnO transparent ceramics which meet the microstructure requirements of the model were effectively controlled by slip casting process under a strong magnetic field and designing SPS sintering parameters. Corresponding results show that the in-line optical transmittance of non-textured ZnO transparent ceramic increased from 5.1% to 12.9% at 600 nm as grain size decreased from 1.72 μm to 0.35 μm while that of textured ZnO transparent ceramic (mean grain size 0.66 μm) was improved greatly from 21.6% to 36.6% at 600 nm due to increasing orientation factor to 24.7% calculated from XRD data. Based on these data, it is found that the calculation results of theoretical model match well with the experiment results.

Key words: ZnO, birefringence, texture, transmittance

CLC Number:

TB321

LIN De-Bao, FAN Ling-Cong, DING Mao-Mao, XIE Jian-Jun, LEI Fang, SHI Ying. Optical Transmittance Model Construction for ZnO Transparent Ceramic and Experimental Verification[J]. Journal of Inorganic Materials, 2019, 34(8): 851-856.

Figures/Tables 10

Fig. 1 Three special situations in simplified model of light transmission through intergranular

Fig. 2 Variation of in-line transmission of ZnO ceramic calculated from the RGD scatting model from different grain sizes

Fig. 3 Comparation of in-line optical transmittance of ZnO ceramics with different grain sizes between calculated values from the RGD scattering model and ZnO samples by SPS processing

Fig. 4 Photographs of ZnO ceramics and corresponding fracture morphologies with grain sizes of (a) 2.65, (b) 1.72, (c) 0.76 and (d) 0.66 μm

Table 1 Comparation of ZnO ceramics and standard pattern for ZnO measured by XRD (normalized intensity)

2θ/(°)	(hkl)	Intensity/%	Angel α with (001) plane/(°)	2θ/(°)	(hkl)	Intensity/%	Angel α with (001) plane/(°)
31.769	100	17.33	90	66.378	200	1.22	90
34.421	002	13.37	0	67.961	112	6.99	52.60
36.252	101	30.40	61.61	69.098	201	3.34	74.88
47.538	102	6.99	42.77	72.561	004	0.61	0
56.602	110	9.73	90	76.953	202	1.22	61.61
62.862	103	8.81	31.66

Table 2 Hypothesis calculation of standard pattern for ZnO

θ=90-α/(°)	0	30	45	60	90
θ=90-α/(°)	(<15)	(15-37.5)	(37.5-52.5)	(52.5-75)	(75-90)
sinθ	0	0.5	0.707	0.866	1
P₀	P₀₁(28.3%)	P₀₂(42.0%)	P₀₃(7.0%)	P₀₄(8.8%)	P₀₅(14.0%)

Table 3 Hypothesis calculation of standard pattern for ZnO

θ/(°) f	0	30	45	60	90	μ(f)
θ/(°) f	(<15)	(15-37.5)	(37.5-52.5)	(52.5-75)	(75-90)	μ(f)
0	28.28%	41.95%	6.99%	8.81%	13.98%	0.4752
4.0%	31.13%	40.62%	5.69%	7.46%	15.09%	0.4588
9.2%	34.57%	43.65%	6.13%	5.58%	10.07%	0.4106
24.8%	46.62%	39.03%	4.34%	4.34%	5.67%	0.3201

Fig. 5 Hypothesis calculation of scatting factor and orientation factor based on ZnO ceramic

Fig. 6 In-line optical transmittance curves of ZnO ceramic with different orientation factor based on theory computation

Fig. 7 Comparation of in-line optical transmittance of ZnO ceramics calculated from the RGD scattering model with orientation factor at 600 nm

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