(9am to 3pm sun on a reef)
The sun is up that long, but think about the angle on the sun in the morning and afternoon. Even the steep angle though a lot more air reduces the intensity, what do you think at lot more water does? Take a PAR reading just after dawn, at 8am, 10am and noon. You may be surprised how much the PAR changes and that's only due to the sunlight passing through extra air. Sunlight at 9am and at 3pm (not daylight savings time) is at 45 degrees from straight down. That means the light has to pass through almost 2 times as much air AND almost 2 times as much water to get down to the coral! I'd link a graph to show you, but photobucket is down for service (at 6:20pm on a Friday!!!).
The zooxanthellae in the coral need close to midday light (9am to 3pm sun on a reef) for 6 to 8 hours in order to do all the photosynthesis they can. After that they shut down no matter how much light they get. But corals also use light to do other things than photosynthesis.
I do a 4 hour sunrise, 4 hour midday and 5 hour sunset. The last hour of sunrise and the first 2 hours of sunset are all still very intense enough for photosynthesis. The first 2 hours of sunrise and last 2 hours of sunset are really dawn and dusk levels of light.
Interested to see the graph. Please link when you can. Thanks!

I get the impression some may want to re-read this post. He's talking about six hours of "midday light". In other words, bright sun high in the sky. He doesn't run his lights for only six hours. He's got them on for 13 hours a day.
Hope this helps.