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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-157.194355
Energy at 298.15K-157.203502
HF Energy-157.194355
Nuclear repulsion energy127.098096
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/aug-cc-pVDZ
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 3123 2993 0.00      
2 A1 3086 2957 0.00      
3 A1 1515 1452 0.00      
4 A1 1170 1121 0.00      
5 A1 1046 1002 0.00      
6 A1 206 197 0.00      
7 A2 1239 1187 0.00      
8 A2 959 919 0.00      
9 B1 1255 1203 0.00      
10 B1 1169 1120 0.00      
11 B1 969 929 0.00      
12 B2 3154 3023 98.40      
13 B2 3077 2948 11.12      
14 B2 1475 1414 4.01      
15 B2 889 852 0.00      
16 B2 635 608 2.65      
17 E 3137 3007 19.92      
17 E 3137 3007 19.92      
18 E 3079 2951 83.80      
18 E 3079 2951 83.80      
19 E 1470 1408 1.47      
19 E 1470 1408 1.47      
20 E 1283 1229 2.07      
20 E 1283 1229 2.07      
21 E 1247 1195 0.23      
21 E 1247 1195 0.23      
22 E 933 894 2.49      
22 E 933 894 2.49      
23 E 752 721 0.30      
23 E 752 721 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 24383.5 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 23366.7 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 mPW1PW91/aug-cc-pVDZ
ABC
0.35790 0.35790 0.21240

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.078 0.128
C2 0.000 -1.078 0.128
C3 -1.078 0.000 -0.128
C4 1.078 0.000 -0.128
H5 0.000 1.405 1.175
H6 0.000 1.967 -0.514
H7 0.000 -1.405 1.175
H8 0.000 -1.967 -0.514
H9 -1.405 0.000 -1.175
H10 -1.967 0.000 0.514
H11 1.405 0.000 -1.175
H12 1.967 0.000 0.514

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.15671.54621.54621.09721.09642.69493.11242.19852.27642.19852.2764
C22.15671.54621.54622.69493.11241.09721.09642.19852.27642.19852.2764
C31.54621.54622.15672.19852.27642.19852.27641.09721.09642.69493.1124
C41.54621.54622.15672.19852.27642.19852.27642.69493.11241.09721.0964
H51.09722.69492.19852.19851.78082.80923.77143.07752.50583.07752.5058
H61.09643.11242.27642.27641.78083.77143.93422.50582.96602.50582.9660
H72.69491.09722.19852.19852.80923.77141.78083.07752.50583.07752.5058
H83.11241.09642.27642.27643.77143.93421.78082.50582.96602.50582.9660
H92.19852.19851.09722.69493.07752.50583.07752.50581.78082.80923.7714
H102.27642.27641.09643.11242.50582.96602.50582.96601.78083.77143.9342
H112.19852.19852.69491.09723.07752.50583.07752.50582.80923.77141.7808
H122.27642.27643.11241.09642.50582.96602.50582.96603.77143.93421.7808

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.438 C1 C3 H9 111.408
C1 C3 H10 117.945 C1 C4 C2 88.438
C1 C4 H11 111.408 C1 C4 H12 117.945
C2 C3 H9 111.408 C2 C3 H10 117.945
C2 C4 H11 111.408 C2 C4 H12 117.945
C3 C1 C4 88.438 C3 C1 H5 111.408
C3 C1 H6 117.945 C3 C2 C4 88.438
C3 C2 H7 111.408 C3 C2 H8 117.945
C4 C1 H5 111.408 C4 C1 H6 117.945
C4 C2 H7 111.408 C4 C2 H8 117.945
H5 C1 H6 108.549 H7 C2 H8 108.549
H9 C3 H10 108.549 H11 C4 H12 108.549
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.705      
2 C 0.705      
3 C 0.705      
4 C 0.705      
5 H -0.363      
6 H -0.342      
7 H -0.363      
8 H -0.342      
9 H -0.363      
10 H -0.342      
11 H -0.363      
12 H -0.342      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.364 0.000 0.000
y 0.000 -27.364 0.000
z 0.000 0.000 -25.781
Traceless
 xyz
x -0.792 0.000 0.000
y 0.000 -0.792 0.000
z 0.000 0.000 1.583
Polar
3z2-r23.167
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 7.501 0.000 0.000
y 0.000 7.501 0.000
z 0.000 0.000 6.535


<r2> (average value of r2) Å2
<r2> 75.013
(<r2>)1/2 8.661