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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: B3LYPultrafine/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-157.229115
Energy at 298.15K-157.238204
HF Energy-157.229115
Nuclear repulsion energy126.641425
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 B3LYPultrafine/6-31+G**
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 3088 2973 0.00      
2 A1 3060 2945 0.00      
3 A1 1527 1471 0.00      
4 A1 1176 1133 0.00      
5 A1 1014 976 0.00      
6 A1 189 182 0.00      
7 A2 1259 1212 0.00      
8 A2 963 927 0.00      
9 B1 1259 1212 0.00      
10 B1 1171 1128 0.00      
11 B1 945 910 0.00      
12 B2 3119 3003 114.86      
13 B2 3050 2937 11.05      
14 B2 1492 1437 3.75      
15 B2 886 853 0.02      
16 B2 637 613 2.82      
17 E 3102 2986 20.36      
17 E 3102 2986 20.36      
18 E 3052 2938 94.27      
18 E 3052 2938 94.27      
19 E 1487 1431 0.64      
19 E 1487 1431 0.64      
20 E 1291 1243 1.75      
20 E 1291 1243 1.75      
21 E 1248 1201 0.43      
21 E 1248 1201 0.43      
22 E 915 881 2.84      
22 E 915 881 2.84      
23 E 755 727 0.28      
23 E 755 727 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 24267.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 23362.7 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 B3LYPultrafine/6-31+G**
ABC
0.35510 0.35510 0.21007

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.085 0.125
C2 0.000 -1.085 0.125
C3 -1.085 0.000 -0.125
C4 1.085 0.000 -0.125
H5 0.000 1.423 1.167
H6 0.000 1.966 -0.524
H7 0.000 -1.423 1.167
H8 0.000 -1.966 -0.524
H9 -1.423 0.000 -1.167
H10 -1.966 0.000 0.524
H11 1.423 0.000 -1.167
H12 1.966 0.000 0.524

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16991.55461.55461.09541.09472.71553.11962.20692.28102.20692.2810
C22.16991.55461.55462.71553.11961.09541.09472.20692.28102.20692.2810
C31.55461.55462.16992.20692.28102.20692.28101.09541.09472.71553.1196
C41.55461.55462.16992.20692.28102.20692.28102.71553.11961.09541.0947
H51.09542.71552.20692.20691.77662.84523.78753.08162.51073.08162.5107
H61.09473.11962.28102.28101.77663.78753.93272.51072.97192.51072.9719
H72.71551.09542.20692.20692.84523.78751.77663.08162.51073.08162.5107
H83.11961.09472.28102.28103.78753.93271.77662.51072.97192.51072.9719
H92.20692.20691.09542.71553.08162.51073.08162.51071.77662.84523.7875
H102.28102.28101.09473.11962.51072.97192.51072.97191.77663.78753.9327
H112.20692.20692.71551.09543.08162.51073.08162.51072.84523.78751.7766
H122.28102.28103.11961.09472.51072.97192.51072.97193.78753.93271.7766

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.517 C1 C3 H9 111.602
C1 C3 H10 117.808 C1 C4 C2 88.517
C1 C4 H11 111.602 C1 C4 H12 117.808
C2 C3 H9 111.602 C2 C3 H10 117.808
C2 C4 H11 111.602 C2 C4 H12 117.808
C3 C1 C4 88.517 C3 C1 H5 111.602
C3 C1 H6 117.808 C3 C2 C4 88.517
C3 C2 H7 111.602 C3 C2 H8 117.808
C4 C1 H5 111.602 C4 C1 H6 117.808
C4 C2 H7 111.602 C4 C2 H8 117.808
H5 C1 H6 108.422 H7 C2 H8 108.422
H9 C3 H10 108.422 H11 C4 H12 108.422
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.277      
2 C -0.277      
3 C -0.277      
4 C -0.277      
5 H 0.141      
6 H 0.136      
7 H 0.141      
8 H 0.136      
9 H 0.141      
10 H 0.136      
11 H 0.141      
12 H 0.136      


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 -27.675 0.000 0.000
y 0.000 -27.675 0.000
z 0.000 0.000 -26.146
Traceless
 xyz
x -0.765 0.000 0.000
y 0.000 -0.765 0.000
z 0.000 0.000 1.529
Polar
3z2-r23.058
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 7.074 0.000 0.000
y 0.000 7.074 0.000
z 0.000 0.000 6.213


<r2> (average value of r2) Å2
<r2> 75.702
(<r2>)1/2 8.701