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All results from a given calculation for CH3CH(CH3)CH3 (Isobutane)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-158.226622
Energy at 298.15K-158.237098
HF Energy-158.226622
Nuclear repulsion energy133.814122
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3042 3011 80.75      
2 A1 2967 2937 12.62      
3 A1 2942 2912 14.25      
4 A1 1462 1447 14.06      
5 A1 1375 1361 1.96      
6 A1 1171 1158 0.46      
7 A1 790 782 0.65      
8 A1 416 412 0.34      
9 A2 3044 3012 0.00      
10 A2 1429 1414 0.00      
11 A2 916 907 0.00      
12 A2 203 201 0.00      
13 E 3048 3016 46.30      
13 E 3048 3016 46.31      
14 E 3035 3003 5.80      
14 E 3035 3003 5.80      
15 E 2961 2930 32.44      
15 E 2961 2930 32.46      
16 E 1458 1443 2.30      
16 E 1458 1443 2.30      
17 E 1435 1420 0.41      
17 E 1435 1420 0.41      
18 E 1344 1330 5.41      
18 E 1344 1330 5.41      
19 E 1308 1295 4.09      
19 E 1308 1295 4.09      
20 E 1160 1148 2.24      
20 E 1160 1148 2.24      
21 E 953 943 0.14      
21 E 953 943 0.14      
22 E 889 880 1.32      
22 E 889 880 1.32      
23 E 344 340 0.00      
23 E 344 340 0.00      
24 E 247 244 0.03      
24 E 247 244 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 28058.7 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 27769.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G(2df,p)
ABC
0.25753 0.25753 0.14926

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.375
H2 0.000 0.000 1.482
C3 0.000 1.462 -0.096
C4 1.266 -0.731 -0.096
C5 -1.266 -0.731 -0.096
H6 0.000 1.518 -1.199
H7 1.315 -0.759 -1.199
H8 -1.315 -0.759 -1.199
H9 0.892 2.002 0.265
H10 -0.892 2.002 0.265
H11 1.288 -1.773 0.265
H12 2.179 -0.229 0.265
H13 -2.179 -0.229 0.265
H14 -1.288 -1.773 0.265

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.10751.53561.53561.53562.18632.18632.18632.19392.19392.19392.19392.19392.1939
H21.10752.15092.15092.15093.08083.08083.08082.50662.50662.50662.50662.50662.5066
C31.53562.15092.53212.53211.10452.80672.80671.10271.10273.50032.78162.78163.5003
C41.53562.15092.53212.53212.80671.10452.80672.78163.50031.10271.10273.50032.7816
C51.53562.15092.53212.53212.80672.80671.10453.50032.78162.78163.50031.10271.1027
H62.18633.08081.10452.80672.80672.62942.62941.78061.78063.82503.15313.15313.8250
H72.18633.08082.80671.10452.80672.62942.62943.15313.82501.78061.78063.82503.1531
H82.18633.08082.80672.80671.10452.62942.62943.82503.15313.15313.82501.78061.7806
H92.19392.50661.10272.78163.50031.78063.15313.82501.78303.79522.57543.79524.3584
H102.19392.50661.10273.50032.78161.78063.82503.15311.78304.35843.79522.57543.7952
H112.19392.50663.50031.10272.78163.82501.78063.15313.79524.35841.78303.79522.5754
H122.19392.50662.78161.10273.50033.15311.78063.82502.57543.79521.78304.35843.7952
H132.19392.50662.78163.50031.10273.15313.82501.78063.79522.57543.79524.35841.7830
H142.19392.50663.50032.78161.10273.82503.15311.78064.35843.79522.57543.79521.7830

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 110.743 C1 C3 H9 111.459
C1 C3 H10 111.459 C1 C4 H7 110.743
C1 C4 H11 111.459 C1 C4 H12 111.459
C1 C5 H8 110.743 C1 C5 H13 111.459
C1 C5 H14 111.459 H2 C1 C3 107.828
H2 C1 C4 107.828 H2 C1 C5 107.828
C3 C1 C4 111.063 C3 C1 C5 111.063
C4 C1 C5 111.063 H6 C3 H9 107.554
H6 C3 H10 107.554 H7 C4 H11 107.554
H7 C4 H12 107.554 H8 C5 H13 107.554
H8 C5 H14 107.554 H9 C3 H10 107.889
H11 C4 H12 107.889 H13 C5 H14 107.889
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 H 0.086      
3 C -0.401      
4 C -0.401      
5 C -0.401      
6 H 0.121      
7 H 0.121      
8 H 0.121      
9 H 0.119      
10 H 0.119      
11 H 0.119      
12 H 0.119      
13 H 0.119      
14 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.090 0.090
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.340 0.000 0.000
y 0.000 -28.340 0.000
z 0.000 0.000 -27.814
Traceless
 xyz
x -0.263 0.000 0.000
y 0.000 -0.263 0.000
z 0.000 0.000 0.526
Polar
3z2-r21.052
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.223 0.000 0.000
y 0.000 7.223 0.000
z 0.000 0.000 6.339


<r2> (average value of r2) Å2
<r2> 99.716
(<r2>)1/2 9.986