Navy officials said yesterday that the rest of the injuries were minor.
The admiral's e-mail also said an outer hull ripped open at the submarine's nose, causing flooding in a dome with sonar sensors and in four of the ballast tanks used to submerge the vessel or take it to the surface.
The flooding caused the submarine to sit deeper in the water and made it hard to maneuver on the trip back to Guam. Sailors had to keep pumping pressurized air into the tanks to prevent the water from rising and to maintain buoyancy.
An inner hull, which surrounds the crew's living and work spaces, held firm, the e-mail said. The nuclear reactor and critical propulsion systems were not damaged.
In the e-mail, Admiral Sullivan did not discuss why the vessel ran aground. The Navy is investigating, and the admiral, who ultimately will have to decide whether to reprimand any of the submarine's crew members, did not respond to requests for comment.
Navy officials have said that the submarine, which was headed for Australia, appeared to have smashed into an undersea mountain that was not on its charts. Mr. Ashley, who lives in Akron, Ohio, said Commander Mooney told him the same thing on Monday.
"He said, 'On the charts we have, this is a clear area all the way through to Australia,' " Mr. Ashley said.
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Navy officials said the San Francisco was traveling at 30 knots when it careened off some part of the undersea mountain range. In one of the e-mail messages, Admiral Sullivan wrote that on impact, the vessel made a "nearly instantaneous deacceleration" to about 4 knots.
Mr. Ashley said Commander Mooney told him that his son had just gotten off watch duty in the engine area and was chatting with other sailors when the accident occurred.
Mr. Ashley said his son, who was 24, "loved the Navy and that submarine" and had just re-enlisted.
Mr. Ashley said Commander Mooney, who could not be reached for comment, also told him that his son's condition seemed to worsen as sailors labored to tilt the stretcher through the evacuation hatch.
Mr. Ashley said that at the end of the conversation, Commander Mooney told him that he took full responsibility for the sailor's death. Mr. Ashley said he replied that he had heard all he needed "to know that you and your crew did everything you could do to save my son's life."