Silver sphere

Warning

The results in this page can be reproduced and visualized using the cubic calculator.

Description

The following table presents the frequencies, irreducible representations and animations for a sphere made of anisotropic silver (C₁₁=123.99, C₁₂=93.67, C₄₄=46.12 GPa and ρ=10.5g/cm³).

The diameter of the sphere is d=10 nm but this value can be modified below.
Modes 0 to 5 are the 6 zero-frequency rigid body translations and rotations. They are not shown here.
Irreducible representations were determined according to the character table for the O_h point group (for example, see here). Raman active modes are indicated.
The number in the last column is the variation of the volume during the vibration normalized so that the largest value is 100%.

See: Acoustic vibrations of anisotropic nanoparticles, L. Saviot & D. B. Murray, Phys. Rev. B 79, 214101 (2009) ( doi: 10.1103/PhysRevB.79.214101, 0904.2959 )

Frequencies for d=nm in	Irreducible representation	Animation(s)	Volume variation
103.31367	E_g	006 007	0.000000
106.79684	T_2u	008 009 010	0.000000
151.07455	A_2g	011	-0.000000
152.98817	T_1u	012 013 014	-0.000000
160.95311	E_u	015 016	0.000000
169.43091	T_2g	017 018 019	0.000000
196.36629	T_2g	020 021 022	-0.000000
196.91591	T_1g	023 024 025	-0.000000
211.18862	E_g	026 027	-0.000000
221.75574	T_2u	028 029 030	0.000000
232.12581	T_1u	031 032 033	0.000000
234.51151	T_2u	034 035 036	-0.000000
248.89663	A_1g	037	1.056491
249.74586	E_u	038 039	-0.000000
252.92383	T_1g	040 041 042	0.000000
260.98062	A_2u	043	0.000000
261.31402	T_1u	044 045 046	-0.000000
279.59279	T_2u	047 048 049	-0.000000
283.75141	E_g	050 051	-0.000000
285.57171	T_1g	052 053 054	0.000000
293.74016	T_2g	055 056 057	0.000000
295.84221	E_g	058 059	0.000000
300.66638	A_1u	060	-0.000000
302.64265	A_2g	061	0.000000
311.46499	T_1u	062 063 064	0.000000
311.98392	T_2g	065 066 067	0.000000
316.90142	T_1u	068 069 070	-0.000000
328.19241	T_2g	071 072 073	0.000000
331.24409	A_1g	074	-12.246856
337.72572	T_1g	075 076 077	0.000000
339.83121	T_2u	078 079 080	-0.000000
340.44280	E_g	081 082	-0.000000
346.06617	T_1u	083 084 085	-0.000000
351.66781	E_u	086 087	-0.000000
354.72604	T_2g	088 089 090	-0.000000
356.80777	A_1u	091	-0.000000
359.21508	A_2u	092	-0.000000
361.16453	T_2u	093 094 095	0.000000
363.54518	T_1g	096 097 098	-0.000000
366.75262	T_1u	099 100 101	0.000000