The energy of a molecule has what sign?

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Discussion Overview

The discussion revolves around the sign of molecular energy, specifically whether it is negative or positive, and the implications of this for comparing energy levels of different molecules. Participants explore theoretical concepts related to energy definitions in physics, particularly in the context of molecular and atomic energy states.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants question whether all molecules or atoms have negative energies and discuss the implications of comparing energies, such as -70 Ha and -75 Ha.
  • One participant notes that energy is often given relative to an arbitrary zero point, referencing Newtonian gravity and the potential energy formula, indicating that the sign of energy may not have physical significance.
  • Another participant agrees that -75 Ha is less than -70 Ha, suggesting that a positive amount of energy would be required to transition between these energy levels.
  • Participants reference external sources to support their claims about the sign of molecular energy.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the sign of molecular energy and its implications. There is no consensus on whether molecular energy is definitively negative or positive, and participants express differing interpretations of energy levels.

Contextual Notes

Participants mention the dependence of energy values on arbitrary reference points and the significance of changes in energy rather than absolute values. There are unresolved aspects regarding the definitions and implications of negative energy in different contexts.

Lotto
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TL;DR
Is it negative or positive? I saw it with negative sign. If it is correct, then why is the energy negative?
And have all molecules or even atoms negative energies? So when a molecule have energy let's say -70 Ha and the other -75 Ha, does it mean that the second molecule has a lower energy?
 
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Lotto said:
I saw it with negative sign.

Where did you see it? Show us.
 
Lotto said:
TL;DR Summary: Is it negative or positive? I saw it with negative sign. If it is correct, then why is the energy negative?
Energy is generally given relative to some arbitrary zero point. E.g. in Newtonian gravity, the zero point for a system of two masses is usually taken to be when the masses are "infinitely" far apart. In which case, the potential energy of the system is given by:$$U = -\frac{Gm_1m_2}{r}$$where ##r## is the distance between the masses. There is no physical significance of this being negative. You could equally take the potential energy to be:$$U = U_0 -\frac{Gm_1m_2}{r}$$for some constant ##U_0##. This would give a value of zero for some finite value of ##r = r_0## and the potential energy would be positive or negative, depending on the value of ##r##.

What's of physical significance is the change in potential energy between two configurations.

Lotto said:
And have all molecules or even atoms negative energies? So when a molecule have energy let's say -70 Ha and the other -75 Ha, does it mean that the second molecule has a lower energy?
Likewise, the electrostatic energy of an atom is generally taken to be relative to some zero point and is often negative. And, yes, ##-75 \ Ha## is less than ##-70 \ Ha##. You need to put ##+10 \ Ha## into the system to change it from the first energy level to the second energy level, in this case.
 

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