Shaking In The Infra Red

From the previous posts "Fermi What? Fermi Pareidolia" and "Geeky Fun And Hor Fun" both dated 19 Dec 2018, we have a table of values of \(f_{osc}\) for empirical radii of elements and the estimated radii of elements as a metal.

atomic number	symbol	name	empirical pm	f_osc (10^14 Hz)	hf eV	Metallic pm	f_osc (10^14 Hz)	hf eV
1	H	hydrogen	25	1.5029	0.622
2	He	helium	120	0.6860	0.284
3	Li	lithium	145	0.6241	0.258	152	0.6095	0.252
4	Be	beryllium	105	0.7334	0.303	112	0.7101	0.294
5	B	boron	85	0.8151	0.337
6	C	carbon	70	0.8982	0.371
7	N	nitrogen	65	0.9321	0.385
8	O	oxygen	60	0.9701	0.401
9	F	fluorine	50	1.0627	0.440
10	Ne	neon	160	0.5941	0.246
11	Na	sodium	180	0.5601	0.232	186	0.5510	0.228
12	Mg	magnesium	150	0.6136	0.254	160	0.5941	0.246
13	Al	aluminium	125	0.6721	0.278	143	0.6284	0.260
14	Si	silicon	110	0.7165	0.296
15	P	phosphorus	100	0.7515	0.311
16	S	sulfur	100	0.7515	0.311
17	Cl	chlorine	100	0.7515	0.311
18	Ar	argon	71	0.8918	0.369
19	K	potassium	220	0.5066	0.210	227	0.4988	0.206
20	Ca	calcium	180	0.5601	0.232	197	0.5354	0.221
21	Sc	scandium	160	0.5941	0.246	162	0.5904	0.244
22	Ti	titanium	140	0.6351	0.263	147	0.6198	0.256
23	V	vanadium	135	0.6468	0.267	134	0.6492	0.268
24	Cr	chromium	140	0.6351	0.263	128	0.6642	0.275
25	Mn	manganese	140	0.6351	0.263	127	0.6668	0.276
26	Fe	iron	140	0.6351	0.263	126	0.6695	0.277
27	Co	cobalt	135	0.6468	0.267	125	0.6721	0.278
28	Ni	nickel	135	0.6468	0.267	124	0.6748	0.279
29	Cu	copper	135	0.6468	0.267	128	0.6642	0.275
30	Zn	zinc	135	0.6468	0.267	134	0.6492	0.268
31	Ga	gallium	130	0.6591	0.273	135	0.6468	0.267
32	Ge	germanium	125	0.6721	0.278
33	As	arsenic	115	0.7007	0.290
34	Se	selenium	115	0.7007	0.290
35	Br	bromine	115	0.7007	0.290
36	Kr	krypton	no data	no data	no data
37	Rb	rubidium	235	0.4902	0.203	248	0.4772	0.197
38	Sr	strontium	200	0.5314	0.220	215	0.5125	0.212
39	Y	yttrium	180	0.5601	0.232	180	0.5601	0.232
40	Zr	zirconium	155	0.6036	0.250	160	0.5941	0.246
41	Nb	niobium	145	0.6241	0.258	146	0.6219	0.257
42	Mo	molybdenum	145	0.6241	0.258	139	0.6374	0.264
43	Tc	technetium	135	0.6468	0.267	136	0.6444	0.266
44	Ru	ruthenium	130	0.6591	0.273	134	0.6492	0.268
45	Rh	rhodium	135	0.6468	0.267	134	0.6492	0.268
46	Pd	palladium	140	0.6351	0.263	137	0.6420	0.266
47	Ag	silver	160	0.5941	0.246	144	0.6262	0.259
48	Cd	cadmium	155	0.6036	0.250	151	0.6115	0.253
49	In	indium	155	0.6036	0.250	167	0.5815	0.240
50	Sn	tin	145	0.6241	0.258
51	Sb	antimony	145	0.6241	0.258
52	Te	tellurium	140	0.6351	0.263
53	I	iodine	140	0.6351	0.263
54	Xe	xenon	no data	no data	no data
55	Cs	caesium	260	0.4660	0.193	265	0.4616	0.191
56	Ba	barium	215	0.5125	0.212	222	0.5044	0.209
57	La	lanthanum	195	0.5381	0.223	187	0.5495	0.227
58	Ce	cerium	185	0.5525	0.228	181.8	0.5573	0.230
59	Pr	praseodymium	185	0.5525	0.228	182.4	0.5564	0.230
60	Nd	neodymium	185	0.5525	0.228	181.4	0.5579	0.231
61	Pm	promethium	185	0.5525	0.228	183.4	0.5549	0.229
62	Sm	samarium	185	0.5525	0.228	180.4	0.5595	0.231
63	Eu	europium	185	0.5525	0.228	180.4	0.5595	0.231
64	Gd	gadolinium	180	0.5601	0.232	180.4	0.5595	0.231
65	Tb	terbium	175	0.5681	0.235	177.3	0.5644	0.233
66	Dy	dysprosium	175	0.5681	0.235	178.1	0.5631	0.233
67	Ho	holmium	175	0.5681	0.235	176.2	0.5661	0.234
68	Er	erbium	175	0.5681	0.235	176.1	0.5663	0.234
69	Tm	thulium	175	0.5681	0.235	175.9	0.5666	0.234
70	Yb	ytterbium	175	0.5681	0.235	176	0.5664	0.234
71	Lu	lutetium	175	0.5681	0.235	173.8	0.5700	0.236
72	Hf	hafnium	155	0.6036	0.250	159	0.5960	0.246
73	Ta	tantalum	145	0.6241	0.258	146	0.6219	0.257
74	W	tungsten	135	0.6468	0.267	139	0.6374	0.264
75	Re	rhenium	135	0.6468	0.267	137	0.6420	0.266
76	Os	osmium	130	0.6591	0.273	135	0.6468	0.267
77	Ir	iridium	135	0.6468	0.267	135.5	0.6456	0.267
78	Pt	platinum	135	0.6468	0.267	138.5	0.6385	0.264
79	Au	gold	135	0.6468	0.267	144	0.6262	0.259
80	Hg	mercury	150	0.6136	0.254	151	0.6115	0.253
81	Tl	thallium	190	0.5452	0.225	170	0.5763	0.238
82	Pb	lead	180	0.5601	0.232
83	Bi	bismuth	160	0.5941	0.246
84	Po	polonium	190	0.5452	0.225
85	At	astatine	no data	no data	no data
86	Rn	radon	no data	no data	no data
87	Fr	francium	no data	no data	no data	no data	no data	no data
88	Ra	radium	215	0.5125	0.212	no data	no data	no data
89	Ac	actinium	195	0.5381	0.223
90	Th	thorium	180	0.5601	0.232	179	0.5617	0.232
91	Pa	protactinium	180	0.5601	0.232	163	0.5886	0.243
92	U	uranium	175	0.5681	0.235	156	0.6017	0.249
93	Np	neptunium	175	0.5681	0.235	155	0.6036	0.250
94	Pu	plutonium	175	0.5681	0.235	159	0.5960	0.246
95	Am	americium	175	0.5681	0.235	173	0.5713	0.236
96	Cm	curium	no data	no data	no data	174	0.5697	0.236
97	Bk	berkelium	no data	no data	no data	170	0.5763	0.238
98	Cf	californium	no data	no data	no data	186	0.5510	0.228
99	Es	einsteinium	no data	no data	no data	186	0.5510	0.228
100	Fm	fermium	no data	no data	no data	no data	no data	no data
101	Md	mendelevium	no data	no data	no data	no data	no data	no data
102	No	nobelium	no data	no data	no data	no data	no data	no data
103	Lr	lawrencium	no data	no data	no data	no data	no data	no data
104	Rf	rutherfordium	no data	no data	no data	no data	no data	no data
105	Db	dubnium	no data	no data	no data	no data	no data	no data
106	Sg	seaborgium	no data	no data	no data	no data	no data	no data
107	Bh	bohrium	no data	no data	no data	no data	no data	no data
108	Hs	hassium	no data	no data	no data	no data	no data	no data
109	Mt	meitnerium	no data	no data	no data	no data	no data	no data
110	Ds	darmstadtium	no data	no data	no data	no data	no data	no data
111	Rg	roentgenium	no data	no data	no data	no data	no data	no data
112	Cn	copernicium	no data	no data	no data	no data	no data	no data
113	Nh	nihonium	no data	no data	no data	no data	no data	no data
114	Fl	flerovium	no data	no data	no data	no data	no data	no data
115	Mc	moscovium	no data	no data	no data	no data	no data	no data
116	Lv	livermorium	no data	no data	no data	no data	no data	no data
117	Ts	tennessine	no data	no data	no data	no data	no data	no data
118	Og	oganesson	no data	no data	no data

where no data implies no available data and a blank implies no data applicable.

The point is to observe the range of values \(f_{osc}\) can take; infra red.  And in term of \(E=hf\), energy values within one-tenth of a electron-voltage.