Standard quantities

In order for multiple simulation engines to be able use arbitrary metatomic models to compute atomic properties, we need all the models to use the same metadata when handling the same quantity. If your model returns one of the quantity defined in this documentation as output; or use them as input; then it must follow the metadata structure described here.

If you need other quantities as inputs or outputs, you should use custom quantity with a name containing ::, such as my_code::my_quantity. For such custom quantity, you are free to use any relevant metadata structure, but if multiple people are using the same quantity, they are encouraged to come together, define the metadata schema they need and add a new section to these pages.

Variants

Models can define variants of any quantity, for example to provide the same output at different levels of theory in a single model. For more information on variants, please refer to the corresponding documentation.

Physical quantities

The first set of standardized quantities for metatomic models are physical quantities, i.e. quantities with a well-defined physical meaning.

Energy
../_images/energy-quantity.png

The potential energy associated with a given system configuration. This can be used to run molecular simulations with on machine learning based interatomic potentials.

Energy
Energy ensemble
../_images/energy-ensemble-quantity.png

An ensemble of multiple potential energy predictions, generated when running multiple models simultaneously.

Energy ensemble
Energy uncertainty
../_images/energy-uncertainty-quantity.png

The uncertainty on the potential energies, useful to quantify the confidence of the model.

Energy uncertainty
Non-conservative force
../_images/nc-force-quantity.png

Forces directly predicted by the model, not derived from the potential energy.

Non-conservative force
Non-conservative stress
../_images/nc-stress-quantity.png

Stress directly predicted by the model, not derived from the potential energy.

Non-conservative stress
Mass
../_images/mass-quantity.png

Atomic masses

Mass
Position
../_images/position-quantity.png

Atomic positions predicted by the model, to be used in ML-driven simulations.

Position
Momentum
../_images/momentum-quantity.png

Atomic momenta, i.e. \(m \times \vec v\)

Momentum
Velocity
../_images/velocity-quantity.png

Atomic velocities, i.e. \(\vec p / m\)

Velocity
Charges
../_images/charge-quantity.png

Atomic charges, e.g. formal or partial charges on atoms

Charge
Heat flux
../_images/heat-flux-quantity.png

Heat flux, i.e. the amount of energy transferred per unit time, i.e. \(\sum_i E_i \times \vec v_i\)

Heat Flux
Spin multiplicity
../_images/spin-multiplicity-quantity.png

The spin multiplicity \((2S + 1)\) of the system, with \(S\) the number of unpaired electrons.

Spin multiplicity

Machine learning quantities

The next set of standardized quantities in metatomic models are specific to machine learning and related tools.

Features
../_images/feature-quantity.png

Features are numerical vectors representing a given structure or atomic environment in an abstract n-dimensional space.

Features