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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: PBEPBEultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Anti 1Ag
1 2 no Gauche 1A

Conformer 1 (Anti)

Jump to S1C2
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-157.360382
Energy at 298.15K-157.370973
HF Energy-157.360382
Nuclear repulsion energy129.356922
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 PBEPBEultrafine/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
Au 122 121 0.00      
Au 221 219 0.00      
Bu 256 254 0.19      
Bg 259 257 0.00      
Ag 421 417 0.00      
Au 734 728 7.91      
Bg 815 807 0.00      
Ag 829 821 0.00      
Bu 975 966 7.45      
Au 976 967 3.17      
Bu 1000 991 8.16      
Ag 1039 1030 0.00      
Ag 1158 1147 0.00      
Bg 1199 1188 0.00      
Au 1290 1278 0.00      
Bu 1315 1303 0.61      
Bg 1331 1319 0.00      
Ag 1354 1342 0.00      
Bu 1409 1396 13.05      
Ag 1412 1399 0.00      
Ag 1497 1484 0.00      
Bu 1505 1491 2.18      
Bg 1519 1505 0.00      
Au 1521 1507 18.69      
Ag 1524 1510 0.00      
Bu 1526 1512 12.53      
Ag 2962 2935 0.00      
Bu 2971 2944 19.46      
Ag 2975 2948 0.00      
Bu 2976 2949 77.64      
Bg 2989 2962 0.00      
Au 3013 2986 8.08      
Bg 3046 3018 0.00      
Ag 3050 3023 0.00      
Bu 3051 3023 63.74      
Au 3052 3024 96.07      

Unscaled Zero Point Vibrational Energy (zpe) 28644.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 28384.2 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 PBEPBEultrafine/3-21G
ABC
0.76004 0.11948 0.11207

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.431 0.642 0.000
C2 0.431 -0.642 0.000
C3 0.431 1.924 0.000
C4 -0.431 -1.924 0.000
H5 -1.090 0.634 0.891
H6 -1.090 0.634 -0.891
H7 1.090 -0.634 0.891
H8 1.090 -0.634 -0.891
H9 -0.198 2.832 0.000
H10 1.080 1.953 0.894
H11 1.080 1.953 -0.894
H12 0.198 -2.832 0.000
H13 -1.080 -1.953 0.894
H14 -1.080 -1.953 -0.894

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.54691.54562.56631.10781.10782.17592.17592.20212.19182.19183.53022.82052.8205
C21.54692.56631.54562.17592.17591.10781.10783.53022.82052.82052.20212.19182.1918
C31.54562.56633.94422.18482.18482.78752.78751.10441.10541.10544.76174.25674.2567
C42.56631.54563.94422.78752.78752.18482.18484.76174.25674.25671.10441.10541.1054
H51.10782.17592.18482.78751.78202.52093.08712.53382.53963.10443.80272.58673.1431
H61.10782.17592.18482.78751.78203.08712.52092.53383.10442.53963.80273.14312.5867
H72.17591.10782.78752.18482.52093.08711.78203.80272.58673.14312.53382.53963.1044
H82.17591.10782.78752.18483.08712.52091.78203.80273.14312.58672.53383.10442.5396
H92.20213.53021.10444.76172.53382.53383.80273.80271.79061.79065.67724.94704.9470
H102.19182.82051.10544.25672.53963.10442.58673.14311.79061.78904.94704.46394.8090
H112.19182.82051.10544.25673.10442.53963.14312.58671.79061.78904.94704.80904.4639
H123.53022.20214.76171.10443.80273.80272.53382.53385.67724.94704.94701.79061.7906
H132.82052.19184.25671.10542.58673.14312.53963.10444.94704.46394.80901.79061.7890
H142.82052.19184.25671.10543.14312.58673.10442.53964.94704.80904.46391.79061.7890

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.164 C1 C2 H7 108.976
C1 C2 H8 108.976 C1 C3 H9 111.311
C1 C3 H11 110.442 C1 C3 H12 31.126
C2 C1 C3 112.164 C2 C1 H5 108.976
C2 C1 H6 108.976 C2 C4 H10 17.447
C2 C4 H13 110.442 C2 C4 H14 110.442
C3 C1 H5 109.752 C3 C1 H6 109.752
C4 C2 H7 109.752 C4 C2 H8 109.752
H5 C1 H6 107.082 H7 C2 H8 107.082
H9 C3 H11 108.251 H9 C3 H12 142.437
H10 C4 H13 93.561 H10 C4 H14 113.716
H11 C3 H12 93.140 H13 C4 H14 108.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.402      
2 C -0.402      
3 C -0.594      
4 C -0.594      
5 H 0.199      
6 H 0.199      
7 H 0.199      
8 H 0.199      
9 H 0.200      
10 H 0.199      
11 H 0.199      
12 H 0.200      
13 H 0.199      
14 H 0.199      


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 -28.273 -0.209 0.000
y -0.209 -28.440 0.000
z 0.000 0.000 -27.830
Traceless
 xyz
x -0.138 -0.209 0.000
y -0.209 -0.389 0.000
z 0.000 0.000 0.527
Polar
3z2-r21.054
x2-y20.167
xy-0.209
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.981 0.160 0.000
y 0.160 7.176 0.000
z 0.000 0.000 5.834


<r2> (average value of r2) Å2
<r2> 120.223
(<r2>)1/2 10.965

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-157.359558
Energy at 298.15K 
Nuclear repulsion energy 
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 PBEPBEultrafine/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 A 3061 3033 33.90      
2 A 3047 3020 0.83      
3 A 3003 2976 17.27      
4 A 2980 2952 20.68      
5 A 2968 2941 17.33      
6 A 1532 1519 4.55      
7 A 1520 1506 4.08      
8 A 1497 1483 0.84      
9 A 1415 1402 8.02      
10 A 1349 1337 1.07      
11 A 1306 1294 0.42      
12 A 1184 1173 0.00      
13 A 1070 1060 0.06      
14 A 985 976 0.53      
15 A 830 822 0.65      
16 A 788 780 2.87      
17 A 324 321 0.10      
18 A 265 262 0.02      
19 A 114 113 0.01      
20 B 3055 3027 51.08      
21 B 3049 3022 67.32      
22 B 3010 2983 17.58      
23 B 2977 2950 19.93      
24 B 2966 2939 20.80      
25 B 1525 1511 12.73      
26 B 1517 1504 12.84      
27 B 1498 1484 1.69      
28 B 1403 1390 9.13      
29 B 1367 1355 2.12      
30 B 1290 1278 0.40      
31 B 1146 1135 4.71      
32 B 982 973 6.54      
33 B 947 939 3.16      
34 B 750 744 8.60      
35 B 430 426 1.18      
36 B 217 216 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 28683.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 28422.1 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 PBEPBEultrafine/3-21G
ABC
0.76004 0.11948 0.11207

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

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability