Question

What are isosurface and isoline (in case of
orbitals)? Show a mathematical equation
associated with iso-surface. Can iso-surface
be presented/visualized in linear scale or
logarithmic scale or both? Is there any
difference between these two scales for
visualizing the orbitals?​

Answer 1

$\huge\underline{\overline{\mid{\bold{\red{AnSwer}\mid}}}}$

★ What are isosurface and isoline (in case of

orbitals)?

=> An isosurface is a three-dimensional analog of an isoline. It is a surface that represents points of a constant value (e.g. pressure, temperature, velocity, density) within a volume of space; in other words, it is a level set of a continuous function whose domain is 3D-space. An Isoline is contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.

★ Show a mathematical equation

associated with iso-surface.

=> Isosurface is sometimes used more generically related to domains of more than 3 dimensions.

★ Can iso-surface

be presented/visualized in linear scale or

logarithmic scale or both?

=> Logarithmic scale

hope it helps uh!!