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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: TPSSh/6-31G(2df,p)

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 TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-158.484932
Energy at 298.15K-158.495497
HF Energy-158.484932
Nuclear repulsion energy130.241766
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 TPSSh/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3101 2993 0.00      
2 Ag 3028 2922 0.00      
3 Ag 3010 2904 0.00      
4 Ag 1518 1465 0.00      
5 Ag 1496 1444 0.00      
6 Ag 1415 1366 0.00      
7 Ag 1393 1345 0.00      
8 Ag 1169 1128 0.00      
9 Ag 1066 1029 0.00      
10 Ag 839 809 0.00      
11 Ag 412 398 0.00      
12 Au 3098 2990 122.28      
13 Au 3057 2950 24.54      
14 Au 1513 1460 9.26      
15 Au 1292 1247 0.18      
16 Au 954 921 0.91      
17 Au 727 702 3.21      
18 Au 217 209 0.00      
19 Au 124 120 0.01      
20 Bg 3094 2986 0.00      
21 Bg 3033 2927 0.00      
22 Bg 1511 1458 0.00      
23 Bg 1335 1289 0.00      
24 Bg 1214 1171 0.00      
25 Bg 801 773 0.00      
26 Bg 257 248 0.00      
27 Bu 3102 2994 86.49      
28 Bu 3027 2921 83.74      
29 Bu 3018 2912 51.15      
30 Bu 1524 1471 2.86      
31 Bu 1503 1450 0.94      
32 Bu 1417 1368 1.17      
33 Bu 1320 1274 8.16      
34 Bu 1018 982 0.03      
35 Bu 973 939 4.85      
36 Bu 244 236 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 28909.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 27897.4 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 TPSSh/6-31G(2df,p)
ABC
0.77946 0.12039 0.11303

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.423 0.640 0.000
C2 -0.423 -0.640 0.000
C3 -0.423 1.919 0.000
C4 0.423 -1.919 0.000
H5 1.084 0.636 0.877
H6 1.084 0.636 -0.877
H7 -1.084 -0.636 0.877
H8 -1.084 -0.636 -0.877
H9 0.205 2.816 0.000
H10 -0.205 -2.816 0.000
H11 -1.069 1.963 -0.884
H12 -1.069 1.963 0.884
H13 1.069 -1.963 -0.884
H14 1.069 -1.963 0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53441.53262.55911.09851.09852.16062.16062.18693.51312.18072.18072.82422.8242
C21.53442.55911.53262.16062.16061.09851.09853.51312.18692.82422.82422.18072.1807
C31.53262.55913.92952.16422.16422.78112.78111.09504.74011.09611.09614.25134.2513
C42.55911.53263.92952.78112.78112.16422.16424.74011.09504.25134.25131.09611.0961
H51.09852.16062.16422.78111.75472.51323.06512.50923.78803.08172.52873.13972.5991
H61.09852.16062.16422.78111.75473.06512.51322.50923.78802.52873.08172.59913.1397
H72.16061.09852.78112.16422.51323.06511.75473.78802.50923.13972.59913.08172.5287
H82.16061.09852.78112.16423.06512.51321.75473.78802.50922.59913.13972.52873.0817
H92.18693.51311.09504.74012.50922.50923.78803.78805.64751.76971.76974.93664.9366
H103.51312.18694.74011.09503.78803.78802.50922.50925.64754.93664.93661.76971.7697
H112.18072.82421.09614.25133.08172.52873.13972.59911.76974.93661.76834.47024.8072
H122.18072.82421.09614.25132.52873.08172.59913.13971.76974.93661.76834.80724.4702
H132.82422.18074.25131.09613.13972.59913.08172.52874.93661.76974.47024.80721.7683
H142.82422.18074.25131.09612.59913.13972.52873.08174.93661.76974.80724.47021.7683

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.105 C1 C2 H7 109.165
C1 C2 H8 109.165 C1 C3 H9 111.586
C1 C3 H11 111.026 C1 C3 H12 111.026
C2 C1 C3 113.105 C2 C1 H5 109.165
C2 C1 H6 109.165 C2 C4 H10 111.586
C2 C4 H13 111.026 C2 C4 H14 111.026
C3 C1 H5 109.576 C3 C1 H6 109.576
C4 C2 H7 109.576 C4 C2 H8 109.576
H5 C1 H6 106.004 H7 C2 H8 106.004
H9 C3 H11 107.745 H9 C3 H12 107.745
H10 C4 H13 107.745 H10 C4 H14 107.745
H11 C3 H12 107.535 H13 C4 H14 107.535
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.196      
2 C -0.196      
3 C -0.433      
4 C -0.433      
5 H 0.116      
6 H 0.116      
7 H 0.116      
8 H 0.116      
9 H 0.131      
10 H 0.132      
11 H 0.132      
12 H 0.131      
13 H 0.132      
14 H 0.132      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.469 0.214 0.000
y 0.214 7.803 0.000
z 0.000 0.000 6.229


<r2> (average value of r2) Å2
<r2> 119.220
(<r2>)1/2 10.919

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-158.483635
Energy at 298.15K-158.494241
HF Energy-158.483635
Nuclear repulsion energy131.986116
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 TPSSh/6-31G(2df,p)
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 3108 2999 43.84      
2 A 3095 2987 2.40      
3 A 3047 2941 28.50      
4 A 3030 2923 29.44      
5 A 3012 2906 21.23      
6 A 1524 1470 1.34      
7 A 1517 1464 2.12      
8 A 1496 1444 0.05      
9 A 1418 1368 0.89      
10 A 1375 1327 1.30      
11 A 1312 1266 0.08      
12 A 1197 1155 0.07      
13 A 1085 1047 0.08      
14 A 984 949 0.17      
15 A 830 801 0.01      
16 A 787 759 1.36      
17 A 311 300 0.04      
18 A 257 248 0.00      
19 A 108 104 0.00      
20 B 3103 2994 57.50      
21 B 3097 2989 93.18      
22 B 3052 2945 33.86      
23 B 3028 2922 27.09      
24 B 3011 2905 31.12      
25 B 1518 1465 4.60      
26 B 1510 1457 6.02      
27 B 1493 1440 0.12      
28 B 1416 1367 4.18      
29 B 1369 1321 7.37      
30 B 1291 1246 0.75      
31 B 1154 1113 2.08      
32 B 965 931 1.31      
33 B 960 926 1.79      
34 B 738 712 3.41      
35 B 417 402 0.38      
36 B 210 203 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 28910.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 27898.9 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 TPSSh/6-31G(2df,p)
ABC
0.44291 0.15664 0.13400

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G(2df,p)

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.251 0.727 0.625
C2 -0.251 -0.727 0.625
C3 -0.251 1.564 -0.559
C4 0.251 -1.564 -0.559
H5 -0.062 1.208 1.560
H6 1.349 0.728 0.631
H7 0.062 -1.208 1.560
H8 -1.349 -0.728 0.631
H9 0.096 2.599 -0.481
H10 -0.096 -2.599 -0.481
H11 0.105 1.168 -1.516
H12 -1.347 1.579 -0.592
H13 -0.105 -1.168 -1.516
H14 1.347 -1.579 -0.592

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53771.53432.57831.09721.09832.15722.16222.18063.52252.19082.18172.88092.8285
C21.53772.57831.53432.15722.16221.09721.09833.52252.18062.88092.82852.19082.1817
C31.53432.57833.16702.15712.16233.50292.80571.09514.16651.09501.09632.89763.5257
C42.57831.53433.16703.50292.80572.15712.16234.16651.09512.89763.52571.09501.0963
H51.09722.15722.15713.50291.75642.41922.50322.47564.32043.08092.53373.88693.7928
H61.09832.16222.16232.80571.75642.50323.06562.51263.79392.52023.08043.21212.6112
H72.15721.09723.50292.15712.41922.50321.75644.32042.47563.88693.79283.08092.5337
H82.16221.09832.80572.16232.50323.06561.75643.79392.51263.21212.61122.52023.0804
H92.18063.52251.09514.16652.47562.51264.32043.79395.20231.76641.76993.91184.3634
H103.52252.18064.16651.09514.32043.79392.47562.51265.20233.91184.36341.76641.7699
H112.19082.88091.09502.89763.08092.52023.88693.21211.76643.91181.76942.34493.1529
H122.18172.82851.09633.52572.53373.08043.79282.61121.76994.36341.76943.15294.1509
H132.88092.19082.89761.09503.88693.21213.08092.52023.91181.76642.34493.15291.7694
H142.82852.18173.52571.09633.79282.61122.53373.08044.36341.76993.15294.15091.7694

picture of Butane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 114.131 C1 C2 H7 108.758
C1 C2 H8 109.081 C1 C3 H9 110.959
C1 C3 H11 111.774 C1 C3 H12 110.971
C2 C1 C3 114.131 C2 C1 H5 108.758
C2 C1 H6 109.081 C2 C4 H10 110.959
C2 C4 H13 111.774 C2 C4 H14 110.971
C3 C1 H5 108.985 C3 C1 H6 109.328
C4 C2 H7 108.985 C4 C2 H8 109.328
H5 C1 H6 106.262 H7 C2 H8 106.262
H9 C3 H11 107.519 H9 C3 H12 107.736
H10 C4 H13 107.519 H10 C4 H14 107.736
H11 C3 H12 107.699 H13 C4 H14 107.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability