So if we plotted that, what you'd get, say here is a rough sketch.

So here you have your y, which is going to be a delta-e in electron volts.

Here you are going to have one over n2 squared.

And you have four points, so your four points are that.

You draw a straight line through them.

Your slope then, is going to be, minus R, with a negative after Rydberg, constant.

And your intercept here, is going to be the Rydberg constant divided by 4.

So now if we move back here to our plot.

[SOUND] We can see we've plotted this already.

So now we know that the the negative of the

slope is the Rydberg constant, and it's in electron volts.

So it's -13.588 or -13.6 electron volts, which is the value, of course.

You know everybody from, from the lectures, and also the slope is, 3, 3.4,

which is equal to of course the Rydberg constant, R, divided by, divided by 4.

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And so the last thing then, so is this just two points down here.

We've done this.

We've shown how to adapt the equation six.

And you've estimated R from the gradient and the intercept.

And then, you used the value of R to estimate the ionization energy.

Of course you know that the ionization energy

is the, is the energy required to remove the

electron, completely from the ground state, so that's

going to be just simply, the value of R.

So the ionization energy for say, for the hydrogen atom is 70.6 electron voles.

And then what would those do is convert that into other, another values.

Energy in kilojoules per mole, or centimeters minus one.

And here you're given the conversion factors.

So for the estimate the ionization of hydrogen,

you'd just multiply 13.6 by this value here.

96.487 kilojoules per mole.

You want it in cm minus 1 [SOUND].

You can multiply it by 8065.6 cm minus one, and then you should be

able to compare your result to values that you find in the, in the lecture.

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