Characteristic Frequencies from Infrared and Elastic Data

Johannes N. Plendl; Peter J. Gielisse

doi:10.1364/AO.4.000853

Applied Optics
Vol. 4,
Issue 7,
pp. 853-856
(1965)
•https://doi.org/10.1364/AO.4.000853

Characteristic Frequencies from Infrared and Elastic Data

Johannes N. Plendl and Peter J. Gielisse

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Johannes N. Plendl and Peter J. Gielisse, "Characteristic Frequencies from Infrared and Elastic Data," Appl. Opt. 4, 853-856 (1965)

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Abstract

The concept of a characteristic frequency from infrared data has been compared with elastic data for dielectric solids. A relationship between the characteristic centro-frequency and a similar frequency derived from purely elastic data has been established. The application to metallic solids is reviewed.

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No.	Sub.	Structure	r 10⁻⁸(cm)	ρ (g/cm³)	κ 10⁻¹² (cm²/dynes)	ν_C from compress. (cm⁻¹)	ν_c from absorption (cm⁻¹)	ν_c from reflection (cm⁻¹)
1	LiF	B-1	2.01	2.60	1.53	413	400–415	410–415
2	NaF	B-1	2.31	2.79	2.11	297	290
3	KF	B-1	2.67	2.48	3.30	218		210–215
4	CsF	B-1	3.01	3.99	4.20	136		130–135
5	LiCl	B-1	2.56	2.07	3.34	248		250–255
6	NaCl	B-1	2.815	2.17	4.20	195	188–190	175–185
7	KCl	B-1	3.14	1.98	5.6	160	162
8	RbCl	B-1	3.27	2.76	6.5	121		∼125
9	CsCl	B-2	3.56	3.96	5.8	98		∼105
10	NaBr	B-1	2.98	3.20	5.0	141		∼150
11	KBr	B-1	3.29	2.75	6.7	118		119
12	RbBr	B-1	3.42	3.35	7.8	95		∼95
13	CsBr	B-2	3.71	4.44	7.0	81		83
14	TIBr	B-2	3.41	7.56	4.4	84		∼85
15	LiI	B-1	3.00	4.06	7.1	104		100–120
16	KI	B-1	3.52	3.12	8.3	94		∼100
17	RbI	B-1	3.66	3.55	9.4	82		∼85
18	CsI	B-2	3.95	4.51	9.3	65	64.2	∼64
19	TlI	B-2	3.64	7.09	6.8	66		∼66
20	MgO	B-1	2.10	3.65	0.72	490	418–525	445–515
21	ZnO	B-4	1.94	5.47	0.75	430	440	410–450
22	ZnS	B-3	2.34	4.04	1.31	308	282	308
23	SiC	B-1	1.89	3.00	0.37	837	832	834
24	CaF₂	C-1	2.36	3.18	1.25	352		333
25	BaF₂	C-1	2.68	4.83	2.07	197		210
26	Ge	A-4	2.44	5.35	1.41	250		260
27	Si	A-4	2.34	2.30	1.04	470		540
28	C	A-4	1.54	3.51	0.16	1450		1680

No.	Sub.	Structure	10⁻⁸r(cm)	κ 10⁻¹² (cm²/dynes)	ρ (g/cm³)	ν_C (cm⁻¹)	ν_Θ (cm⁻¹)
1	Li	A-2 (cubic)	3.04	8.7	0.534	254	230–300
2	Be	A-3 (hex.)	2.20	0.72	1.85	655	680–800
3	C	A-4 (cubic)	1.54	0.16	3.51	1450	1300–1600
4	Na	A-2 (cubic)	3.72	15.8	0.97	114	100–110
5	Mg	A-3 (hex.)	3.20	2.96	1.74	230	200–280
6	Al	A-1 (cubic)	2.86	1.40	2.69	298	265–300
7	Si	A-4 (cubic)	2.35	1.12	3.42	430	435–455
8	K	A-2 (cubic)	4.62	35.6	0.86	66	66
9	Ca	A-1 (cubic)	3.93	5.7	1.55	145	155
10	Ti	A-3 (hex.)	2.94	0.80	4.50	297	200–300
11	V	A-2 (cubic)	2.63	1.10	5.96	246	210–270
12	Cr	A-3 (hex.)	2.72	0.61	7.20	292	280–330
13	Mn	A-12 (cubic def.)	∼2.5^b	0.80	7.50	266	245–280
14	Fe	A-2 (cubic)	2.48	0.59	7.87	311	290–320
15	Co	A-1 (cubic)	2.51	0.54	8.9	303	270–310
16	Ni	A-1 (cubic)	2.49	0.53	8.9	308	260–310
17	Cu	A-1 (cubic)	2.55	0.76	8.93	251	220–250
18	Zn	A-3 (hex.)	2.66	1.40	7.13	216	170–215
19	Ge	A-4 (cubic)	2.44	1.41	5.35	249	200–255
20	Zr	A-3 (hex.)	3.22	1.10	6.5	193	175–195
21	Mo	A-2 (cubic)	2.72	0.46	10.2	282	255–295
22	Ru	A-3 (hex.)	2.70	0.35	12.6	293	280–295
23	Ag	A-1 (cubic)	2.88	1.00	10.5	178	150–175
24	Cd	A-3 (hex.)	2.97	2.3	8.65	126	120
25	Sn	A-4 (cubic)	2.80	1.87	5.8	180	150–180
26	Sn	A-5 (cubic def.)	∼3.10^b	1.90	7.28	145	130–150
27	Sb	A-7 (cubic rhomb. def.)	∼3.30^b	2.7	6.68	118	100–140
28	La	A-3 (hex.)	3.75	3.51	6.15	98	90–105
29	Hf	A-3 (hex.)	3.20	0.90	13.3	150	150
30	W	A-2 (cubic)	2.74	0.318	19.3	245	205–265
31	Tl	A-3 (hex.)	3.45	3.5	11.85	75	60–70
32	Bi	A-7 (cubic rhomb, def.)	∼3.65^b	2.95	9.80	85	70–85
33	Th	A-1 (cubic)	3.58	1.82	11.2	104	115
34	FeS₂	C-2 (cubic)	2.27	0.67	4.87	431	430–448

No.	Sub.	Structure	r 10⁻⁸(cm)	ρ (g/cm³)	κ 10⁻¹² (cm²/dynes)	ν_C from compress. (cm⁻¹)	ν_c from absorption (cm⁻¹)	ν_c from reflection (cm⁻¹)
1	LiF	B-1	2.01	2.60	1.53	413	400–415	410–415
2	NaF	B-1	2.31	2.79	2.11	297	290
3	KF	B-1	2.67	2.48	3.30	218		210–215
4	CsF	B-1	3.01	3.99	4.20	136		130–135
5	LiCl	B-1	2.56	2.07	3.34	248		250–255
6	NaCl	B-1	2.815	2.17	4.20	195	188–190	175–185
7	KCl	B-1	3.14	1.98	5.6	160	162
8	RbCl	B-1	3.27	2.76	6.5	121		∼125
9	CsCl	B-2	3.56	3.96	5.8	98		∼105
10	NaBr	B-1	2.98	3.20	5.0	141		∼150
11	KBr	B-1	3.29	2.75	6.7	118		119
12	RbBr	B-1	3.42	3.35	7.8	95		∼95
13	CsBr	B-2	3.71	4.44	7.0	81		83
14	TIBr	B-2	3.41	7.56	4.4	84		∼85
15	LiI	B-1	3.00	4.06	7.1	104		100–120
16	KI	B-1	3.52	3.12	8.3	94		∼100
17	RbI	B-1	3.66	3.55	9.4	82		∼85
18	CsI	B-2	3.95	4.51	9.3	65	64.2	∼64
19	TlI	B-2	3.64	7.09	6.8	66		∼66
20	MgO	B-1	2.10	3.65	0.72	490	418–525	445–515
21	ZnO	B-4	1.94	5.47	0.75	430	440	410–450
22	ZnS	B-3	2.34	4.04	1.31	308	282	308
23	SiC	B-1	1.89	3.00	0.37	837	832	834
24	CaF₂	C-1	2.36	3.18	1.25	352		333
25	BaF₂	C-1	2.68	4.83	2.07	197		210
26	Ge	A-4	2.44	5.35	1.41	250		260
27	Si	A-4	2.34	2.30	1.04	470		540
28	C	A-4	1.54	3.51	0.16	1450		1680

No.	Sub.	Structure	10⁻⁸r(cm)	κ 10⁻¹² (cm²/dynes)	ρ (g/cm³)	ν_C (cm⁻¹)	ν_Θ (cm⁻¹)
1	Li	A-2 (cubic)	3.04	8.7	0.534	254	230–300
2	Be	A-3 (hex.)	2.20	0.72	1.85	655	680–800
3	C	A-4 (cubic)	1.54	0.16	3.51	1450	1300–1600
4	Na	A-2 (cubic)	3.72	15.8	0.97	114	100–110
5	Mg	A-3 (hex.)	3.20	2.96	1.74	230	200–280
6	Al	A-1 (cubic)	2.86	1.40	2.69	298	265–300
7	Si	A-4 (cubic)	2.35	1.12	3.42	430	435–455
8	K	A-2 (cubic)	4.62	35.6	0.86	66	66
9	Ca	A-1 (cubic)	3.93	5.7	1.55	145	155
10	Ti	A-3 (hex.)	2.94	0.80	4.50	297	200–300
11	V	A-2 (cubic)	2.63	1.10	5.96	246	210–270
12	Cr	A-3 (hex.)	2.72	0.61	7.20	292	280–330
13	Mn	A-12 (cubic def.)	∼2.5^b	0.80	7.50	266	245–280
14	Fe	A-2 (cubic)	2.48	0.59	7.87	311	290–320
15	Co	A-1 (cubic)	2.51	0.54	8.9	303	270–310
16	Ni	A-1 (cubic)	2.49	0.53	8.9	308	260–310
17	Cu	A-1 (cubic)	2.55	0.76	8.93	251	220–250
18	Zn	A-3 (hex.)	2.66	1.40	7.13	216	170–215
19	Ge	A-4 (cubic)	2.44	1.41	5.35	249	200–255
20	Zr	A-3 (hex.)	3.22	1.10	6.5	193	175–195
21	Mo	A-2 (cubic)	2.72	0.46	10.2	282	255–295
22	Ru	A-3 (hex.)	2.70	0.35	12.6	293	280–295
23	Ag	A-1 (cubic)	2.88	1.00	10.5	178	150–175
24	Cd	A-3 (hex.)	2.97	2.3	8.65	126	120
25	Sn	A-4 (cubic)	2.80	1.87	5.8	180	150–180
26	Sn	A-5 (cubic def.)	∼3.10^b	1.90	7.28	145	130–150
27	Sb	A-7 (cubic rhomb. def.)	∼3.30^b	2.7	6.68	118	100–140
28	La	A-3 (hex.)	3.75	3.51	6.15	98	90–105
29	Hf	A-3 (hex.)	3.20	0.90	13.3	150	150
30	W	A-2 (cubic)	2.74	0.318	19.3	245	205–265
31	Tl	A-3 (hex.)	3.45	3.5	11.85	75	60–70
32	Bi	A-7 (cubic rhomb, def.)	∼3.65^b	2.95	9.80	85	70–85
33	Th	A-1 (cubic)	3.58	1.82	11.2	104	115
34	FeS₂	C-2 (cubic)	2.27	0.67	4.87	431	430–448

Abstract

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Equations (6)

Applied Optics