Even so, there are some do's and don'ts you can apply to your attempts at photographing these amazing moments of light. Let's take a look a few of them.
First of all, one of the biggest mistakes novice photographers make when photographing sunsets or sunrises is to center the sun in the middle of the image and to divide the scene half and half between the sky and ground. Here's a coupe of examples.
In this first picture the sun has risen several points above the horizon. the exposure is not so bad here but the composition of the scene leaves a lot to be desired. With the sun centered the way it is, the interest level drops way off...it's just too symmetrical with not enough variation in the scene nor any central point of interest or reference. To correct an image like this, the sun should be offset to one side and more of terrain included. Something like this:
In this image, the composition is much stronger as there is a central point of interest and variation in the scene.
Here's another example of what not to do.
In this image, once again the sun is centered and the composition is spaced half and half between the sky and the ground. Although the fence and barn add a bit of interest, this is not exactly a very good arrangement photographically speaking. To correct an image like this apply the same kind of principle to offset the sun to one side and include more of the sky with just a sliver of landscape at the bottom to provide a sense of scale. The sky is the main ingredient here...so make it your main subject.
Although I still find myself pointing my camera at both sunsets and sunrises I prefer sunrises as they tend to occur when the atmospheric conditions offer a greater variety of conditions. Early morning light offers a great amount of contrasts both subtle and bold...throw in a little fog and you have a great combination. The trick is to not so much focus on the rising sun...but to focus on the effects the light has on the scene. Here's an example of what I'm talking about. In this photo the sun is nowhere to be seen, but you do see the effects of that wonderful morning glow.
Here is another example of looking the other direction, except this time during a sunset. The best light I discovered was behind me...the actual sunset was rather ordinary.
So, as you can see, capturing sunsets and sunrises don't always have to include the typical cliche images. Look at the effects of the light instead of the source and you just might discover some amazing opportunities to capture a unique collection of sunrise and sunset moments.