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

using model chemistry: PBEPBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-158.266770
Energy at 298.15K-158.277235
HF Energy-158.266770
Nuclear repulsion energy134.104898
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/6-311+G(3df,2p)
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 3025 3000 87.02      
2 A1 2957 2933 14.03      
3 A1 2932 2908 10.96      
4 A1 1459 1447 21.19      
5 A1 1371 1359 3.32      
6 A1 1165 1156 0.11      
7 A1 784 778 0.64      
8 A1 418 414 0.20      
9 A2 3025 3000 0.00      
10 A2 1427 1415 0.00      
11 A2 916 908 0.00      
12 A2 199 197 0.00      
13 E 3029 3004 51.40      
13 E 3029 3004 51.42      
14 E 3016 2992 6.36      
14 E 3016 2992 6.36      
15 E 2950 2926 36.80      
15 E 2950 2926 36.82      
16 E 1454 1442 4.93      
16 E 1454 1442 4.93      
17 E 1433 1422 0.45      
17 E 1433 1422 0.46      
18 E 1341 1330 8.10      
18 E 1341 1330 8.10      
19 E 1304 1294 3.27      
19 E 1304 1294 3.27      
20 E 1154 1144 2.62      
20 E 1154 1144 2.62      
21 E 946 939 0.04      
21 E 946 939 0.04      
22 E 887 880 1.09      
22 E 887 880 1.09      
23 E 346 343 0.01      
23 E 346 343 0.01      
24 E 241 239 0.02      
24 E 241 239 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 27938.6 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 27709.5 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/6-311+G(3df,2p)
ABC
0.25855 0.25855 0.14985

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.374
H2 0.000 0.000 1.478
C3 0.000 1.459 -0.096
C4 1.264 -0.730 -0.096
C5 -1.264 -0.730 -0.096
H6 0.000 1.514 -1.196
H7 1.311 -0.757 -1.196
H8 -1.311 -0.757 -1.196
H9 0.889 1.997 0.265
H10 -0.889 1.997 0.265
H11 1.285 -1.768 0.265
H12 2.174 -0.229 0.265
H13 -2.174 -0.229 0.265
H14 -1.285 -1.768 0.265

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.10401.53321.53321.53322.18102.18102.18102.18852.18852.18852.18852.18852.1885
H21.10402.14642.14642.14643.07263.07263.07262.50002.50002.50002.50002.50002.5000
C31.53322.14642.52782.52781.10112.80042.80041.09951.09953.49262.77582.77583.4926
C41.53322.14642.52782.52782.80041.10112.80042.77583.49261.09951.09953.49262.7758
C51.53322.14642.52782.52782.80042.80041.10113.49262.77582.77583.49261.09951.0995
H62.18103.07261.10112.80042.80042.62282.62281.77631.77633.81553.14583.14583.8155
H72.18103.07262.80041.10112.80042.62282.62283.14583.81551.77631.77633.81553.1458
H82.18103.07262.80042.80041.10112.62282.62283.81553.14583.14583.81551.77631.7763
H92.18852.50001.09952.77583.49261.77633.14583.81551.77763.78592.57003.78594.3476
H102.18852.50001.09953.49262.77581.77633.81553.14581.77764.34763.78592.57003.7859
H112.18852.50003.49261.09952.77583.81551.77633.14583.78594.34761.77763.78592.5700
H122.18852.50002.77581.09953.49263.14581.77633.81552.57003.78591.77764.34763.7859
H132.18852.50002.77583.49261.09953.14583.81551.77633.78592.57003.78594.34761.7776
H142.18852.50003.49262.77581.09953.81553.14581.77634.34763.78592.57003.78591.7776

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 110.703 C1 C3 H9 111.402
C1 C3 H10 111.402 C1 C4 H7 110.703
C1 C4 H11 111.402 C1 C4 H12 111.402
C1 C5 H8 110.703 C1 C5 H13 111.402
C1 C5 H14 111.402 H2 C1 C3 107.845
H2 C1 C4 107.845 H2 C1 C5 107.845
C3 C1 C4 111.047 C3 C1 C5 111.047
C4 C1 C5 111.047 H6 C3 H9 107.643
H6 C3 H10 107.643 H7 C4 H11 107.643
H7 C4 H12 107.643 H8 C5 H13 107.643
H8 C5 H14 107.643 H9 C3 H10 107.877
H11 C4 H12 107.877 H13 C5 H14 107.877
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.149      
2 H 0.096      
3 C -0.334      
4 C -0.334      
5 C -0.334      
6 H 0.124      
7 H 0.124      
8 H 0.124      
9 H 0.114      
10 H 0.114      
11 H 0.114      
12 H 0.114      
13 H 0.114      
14 H 0.114      


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 0.145 0.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.264 0.000 0.000
y 0.000 -29.264 0.000
z 0.000 0.000 -28.611
Traceless
 xyz
x -0.326 0.000 0.000
y 0.000 -0.326 0.000
z 0.000 0.000 0.652
Polar
3z2-r21.304
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 8.556 0.000 0.000
y 0.000 8.556 0.000
z 0.000 0.000 7.397


<r2> (average value of r2) Å2
<r2> 99.922
(<r2>)1/2 9.996