When Brennen and Booth are walking to the Royal Diner the first time, Brennan walks on the left of Booth, while the street is to Booth's right. At a point when Brennan speaks, the street is suddenly to Brennan's left, while she still walks left to Booth, with the houses being to his right, without them ever crossing the street.
Ms. Wick calculates the temperature of the burning magnesium at 500c (932f) degrees. In truth, magnesium burns much hotter, reaching temperatures of up to 3,100c (5,612f).
The team extracts a nearly undamaged bullet from the "melted" bones of the corpse. Even without the added heat of the burning magnesium, a fire that burns a corpse to bone will melt copper and lead bullet alloys. There is no way an intact bullet could be discovered in such a fire.
Hodges says that magnesium must be wet to ignite. Actually, magnesium does not have to be wet, it will ignite when dry. One just has to get it hot enough. The heat of normal sunlight is not sufficient to light it.
When Special Agent Booth asks Jesse Wilson about the tattoo on his arm, Wilson replies that it's the insignia of "Patton's Third Army." However, the insignia shown is actually the red, blue, and yellow triangle insignia of the Third Armored Division.
They determine the murder weapon must be the Nazi dagger because of traces of carbon steel, which meant it must've been forged "before 1964". Most good modern knives and swords are made of carbon steel, as are most tools.
Bones states that bones cannot melt. Bones - like everything else - can in fact melt at the right temperature and pressure.
At the beginning of the episode, Cam and Daisy are about to use a gas on some bones. Tanks labeled "Nitrogen" are behind them. Daisy first refers to the gas as liquid nitrogen but, a few seconds later, she refers to it as nitric oxide.