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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-157.566545
Energy at 298.15K-157.577274
HF Energy-157.566545
Nuclear repulsion energy134.368212
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 mPW1PW91/3-21G*
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 3143 2985 79.38      
2 A1 3068 2914 10.04      
3 A1 3063 2909 3.71      
4 A1 1579 1499 25.16      
5 A1 1474 1400 6.36      
6 A1 1248 1185 2.59      
7 A1 810 769 1.32      
8 A1 436 414 0.68      
9 A2 3135 2977 0.00      
10 A2 1545 1467 0.00      
11 A2 993 943 0.00      
12 A2 218 207 0.00      
13 E 3140 2982 44.82      
13 E 3140 2982 44.82      
14 E 3131 2973 3.52      
14 E 3131 2973 3.52      
15 E 3058 2904 27.39      
15 E 3058 2904 27.39      
16 E 1572 1493 7.09      
16 E 1572 1493 7.09      
17 E 1553 1474 0.73      
17 E 1553 1474 0.73      
18 E 1447 1374 14.13      
18 E 1447 1374 14.12      
19 E 1389 1319 4.05      
19 E 1389 1319 4.05      
20 E 1223 1161 5.21      
20 E 1223 1161 5.21      
21 E 998 948 0.09      
21 E 998 948 0.09      
22 E 956 908 3.84      
22 E 956 908 3.84      
23 E 367 348 0.03      
23 E 367 348 0.03      
24 E 262 248 0.02      
24 E 262 248 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 29450.5 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 27966.2 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 mPW1PW91/3-21G*
ABC
0.25947 0.25947 0.15099

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.392
H2 0.000 0.000 1.490
C3 0.000 1.456 -0.099
C4 1.261 -0.728 -0.099
C5 -1.261 -0.728 -0.099
H6 0.000 1.479 -1.196
H7 1.281 -0.739 -1.196
H8 -1.281 -0.739 -1.196
H9 0.889 1.989 0.256
H10 -0.889 1.989 0.256
H11 1.278 -1.764 0.256
H12 2.167 -0.225 0.256
H13 -2.167 -0.225 0.256
H14 -1.278 -1.764 0.256

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.09831.53671.53671.53672.16962.16962.16962.18302.18302.18302.18302.18302.1830
H21.09832.15552.15552.15553.06593.06593.06592.50412.50412.50412.50412.50412.5041
C31.53672.15552.52202.52201.09652.76822.76821.09561.09563.48302.76562.76563.4830
C41.53672.15552.52202.52202.76821.09652.76822.76563.48301.09561.09563.48302.7656
C51.53672.15552.52202.52202.76822.76821.09653.48302.76562.76563.48301.09561.0956
H62.16963.06591.09652.76822.76822.56162.56161.77681.77683.77623.11553.11553.7762
H72.16963.06592.76821.09652.76822.56162.56163.11553.77621.77681.77683.77623.1155
H82.16963.06592.76822.76821.09652.56162.56163.77623.11553.11553.77621.77681.7768
H92.18302.50411.09562.76563.48301.77683.11553.77621.77753.77382.55673.77384.3343
H102.18302.50411.09563.48302.76561.77683.77623.11551.77754.33433.77382.55673.7738
H112.18302.50413.48301.09562.76563.77621.77683.11553.77384.33431.77753.77382.5567
H122.18302.50412.76561.09563.48303.11551.77683.77622.55673.77381.77754.33433.7738
H132.18302.50412.76563.48301.09563.11553.77621.77683.77382.55673.77384.33431.7775
H142.18302.50413.48302.76561.09563.77623.11551.77684.33433.77382.55673.77381.7775

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 109.831 C1 C3 H9 110.951
C1 C3 H10 110.951 C1 C4 H7 109.831
C1 C4 H11 110.951 C1 C4 H12 110.951
C1 C5 H8 109.831 C1 C5 H13 110.951
C1 C5 H14 110.951 H2 C1 C3 108.637
H2 C1 C4 108.637 H2 C1 C5 108.637
C3 C1 C4 110.293 C3 C1 C5 110.293
C4 C1 C5 110.293 H6 C3 H9 108.295
H6 C3 H10 108.295 H7 C4 H11 108.295
H7 C4 H12 108.295 H8 C5 H13 108.295
H8 C5 H14 108.295 H9 C3 H10 108.434
H11 C4 H12 108.434 H13 C5 H14 108.434
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.313      
2 H 0.219      
3 C -0.591      
4 C -0.591      
5 C -0.591      
6 H 0.206      
7 H 0.206      
8 H 0.206      
9 H 0.208      
10 H 0.208      
11 H 0.208      
12 H 0.208      
13 H 0.208      
14 H 0.208      


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 0.047 0.047
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.233 0.000 0.000
y 0.000 -28.233 0.000
z 0.000 0.000 -27.905
Traceless
 xyz
x -0.164 0.000 0.000
y 0.000 -0.164 0.000
z 0.000 0.000 0.328
Polar
3z2-r20.655
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 6.318 0.000 0.000
y 0.000 6.319 0.000
z 0.000 0.000 5.685


<r2> (average value of r2) Å2
<r2> 98.773
(<r2>)1/2 9.938