Mike, surface tension has nothing to do with gravity or atmosphere.
Surface tension, can easily be demonstrated as the 'skin', or meniscus that forms when you pour water into a clean glass. Once the water settles, the edges of surface that touch the glass will appear to 'climb' up the side. The effect is similar to
capillary action - where water will rise up inside a thin tube
against the force of gravity (and when the tube is open ended, so it's nothing to do with atmospheric pressure).
The effect is more visible when you fill the glass to the top - as you reach the apparent total capacity of the glass, you'll find that as you carefully keep on adding water, the surface will form a discernible bulge. So, effectively, the meniscus of the water is strong enough to prevent the water escaping (by gravity) over the side of the glass. So, with water, you could actually have a 1 pint glass holding more than 1 pint of water. Once there is enough water in the glass for the gravitational force to exceed the surface tension, the water will overflow.
If I remember correctly, this property of water is caused because the molecules of H
20 aren't physically symmetrical, or more pertinently - electrically symmetrical. With a simple molecule of water, you might expect the three atoms to bond in a straight line:
H-O-H so the molecule would naturally configure itself into the lowest energy state possible. However, due to the electrical properties of the molecule, the structure has two spare pairs of electrons in the outer valence shell (these are referred to as 'lone' pairs).
As the two hydrogen atoms are electrically positive and the two lone pairs are negative, they repel and attract each other just as the poles of a magnet would and the lowest energy state of the molecule is therefore not a straight line, but more akin to a slightly distorted tetrahedron, with oxygen at the centre and the two hydrogen atoms at two of the points.
This makes the water molecule 'polar' - where there is a different electrical charge at either 'end' of it.
It is this polar nature that allows nearby molecules of water to become loosely attracted to each other - i.e. the lone pairs of one molecule are attracted to the hydrogen atoms of another.
It is this attraction that causes surface tension.
I'm pretty sure (but far from certain!) that the polar nature of water is exploited by soaps and detergents. I recall soap molecules being hydrophobic (repelled by water) at one end and hydrophilic (water 'loving') at the other. It is this property that helps 'dissolve' oil and grease in water as the hydrophobic ends of the soap molecules bury one end of themselves into the fat and help disperse the globules.
Anywho, it's something like that. It's definitely related to why, if you have an 'over-filled' glass of water with a meniscus on top and add a drop of detergent to it, the surface tension is destroyed, and the glass will immediately overflow.