Σ+ ΣGiven that, for 12c"0;:01 = 1354.07 cm, 02 = 672.95 cm, 03 = 2396.30 cm,X11 = - 3.10 cm,x22 = 1.59 cm-*33 = -12.50 cm-.%3D%3DX12 - 5.37 cm-, x13 = -19.27 cm, 23 = -12.51 cm,v2 is a bending modeG(v1 = 1) and G(v2 = 2) are two levels%3D822 = - 0.62 cm-1calculate the wavenumbers of the v = 1 level and the 2 (2 = 0) level. The resultinglevels both have Et symmetry and, because of this and the fact that they would otherwisebe close together, they interact by a process called Fermi resonance. As a result they arepushed much further apart. (, 02, and oz are equilibrium values corresponding to thevibrations v, V2, and v3).

ω1=1354.07, ω2=672.95, ω3=2396.30x11=-3.10, x22=1.59, x33=-12.50x12=-5.37, x13=-19.27,…

Σ00)=E(+1) + Ex(+2) (v + 2) + & 6+ ... Given that, for ¹2C¹60₂: 0₁ = 1354.07 cm ¹, ₂ = 672.95 cm ¹,03 = 2396.30 cm-¹, X11-3.10 cm.x22 = 1.59 cm, ¹.x22 = 1.59 cm ¹₁x33 = -12.50 cm-¹, X12 = -5.37 cm¹, X13 = -19.27 cm¹, x23 = -12.51 cm-¹, V₂ is a bending mode 8220.62 cm-¹ G(v₁1) and G(v₂ = 2) are two levels calculate the wavenumbers of the v₁ = 1 level and the v₂ = 2 (₂ = 0) level. The resulting levels both have 2 symmetry and, because of this and the fact that they would otherwise be close together, they interact by a process called Fermi resonance. As a result they are pushed much further apart. (0₁, 02, and 3 are equilibrium values corresponding to the vibrations V₁, V₂, and v3).

Σ00)=E(+1) + Ex(+2) (v + 2) + & 6+ ... Given that, for ¹2C¹60₂: 0₁ = 1354.07 cm ¹, ₂ = 672.95 cm ¹,03 = 2396.30 cm-¹, X11-3.10 cm.x22 = 1.59 cm, ¹.x22 = 1.59 cm ¹₁x33 = -12.50 cm-¹, X12 = -5.37 cm¹, X13 = -19.27 cm¹, x23 = -12.51 cm-¹, V₂ is a bending mode 8220.62 cm-¹ G(v₁1) and G(v₂ = 2) are two levels calculate the wavenumbers of the v₁ = 1 level and the v₂ = 2 (₂ = 0) level. The resulting levels both have 2 symmetry and, because of this and the fact that they would otherwise be close together, they interact by a process called Fermi resonance. As a result they are pushed much further apart. (0₁, 02, and 3 are equilibrium values corresponding to the vibrations V₁, V₂, and v3).