The Impact of Blue Inorganic Pigments on the Microwave Electrical Properties of Polymer Composites

Table 1

Calculated values for 𝜀^′_𝑓 and 𝜀^𝑓 of the filler, and standard deviation 𝜒², using the inversion of Wiener, Hanai, Looyenga, Maxwell-Wagner-Sillars, and Bruggeman laws. 𝐴 is a parameter of Bruggeman and 𝑡 the exponent of generalized Looyenga laws.

	Parameters	Direct  Wiener	Invere Wienr	Hanai	Maxwell-Wagner-Sillars	Generalized  Looyenga	Bruggeman
2.7 GHz	𝜀^𝑓	23.63	6.13E5	2.75	9.87E5	108.3	52.1
	𝜀^′𝑓	3.72	—	0.42	1.24E5	39.58	19.18
	𝑡	—	—	—	—	3.50	—
	𝐴	—	—	—	—	—	7.97
	𝜒^2	0.0218	0.2455	0.2901	0.1627	0.0226	0.0248
5 GHz	𝜀^′𝑓	22.36	7.3E5	1.1E5	1.0	106.9	1.0
	𝜀^′𝑓	0.214	8.0E5	354.6	355.0	102.3	155.1
	𝑡	—	—	—	—	3.94	—
	𝐴	—	—	—	—	—	4.86
	𝜒^2	0.0446	0.2289	0.1381	0.1402	0.0415	0.0780