Many thanks for your answer.
Yes it's set up as RAID 1. Maintenance jobs (defragmentation etc.) are always performed when the Time Machine backup is completed (if the drives stays ON). After some minutes you can hear clearly when everything is finished. Besides, this drive is protected against unintended ejecting/turning-off during write operations, so this is not a way to damage data.
The drive had been turned on before the backup and it was ready. It isn't aged yet either.
I've checked the system.log between 02.48:26 and 03:28:19 and removed all lines resulting from my brightness dimmer (lots of lines) - now there are still 510 lines - too much to insert here I guess (or not?). Here are the first 5 minutes:
Aug 17 02:48:33 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34076]): Exited: Killed: 9
Aug 17 02:48:33 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34076 [SleepServicesD]
Aug 17 02:48:39 uomes-iMac com.apple.launchd[1] (com.apple.cfprefsd.xpc.daemon[34077]): Exited: Killed: 9
Aug 17 02:48:39 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34077 [cfprefsd]
Aug 17 02:48:45 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34078]): Exited: Killed: 9
Aug 17 02:48:45 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34078 [SleepServicesD]
Aug 17 02:48:48 uomes-iMac com.apple.launchd.peruser.89[34060] (com.apple.distnoted.xpc.agent[34063]): Exited: Killed: 9
Aug 17 02:48:48 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34063 [distnoted]
Aug 17 02:49:40 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34079]): Exited: Killed: 9
Aug 17 02:49:40 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34079 [SleepServicesD]
Aug 17 02:49:40 uomes-iMac.local distnoted[34084]: # distnote server agent absolute time: 1241566.144217091 civil time: Sat Aug 17 02:49:40 2013 pid: 34084 uid: 89 root: no
Aug 17 02:50:14 uomes-iMac com.apple.launchd[1] (com.apple.cfprefsd.xpc.daemon[34086]): Exited: Killed: 9
Aug 17 02:50:15 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34086 [cfprefsd]
Aug 17 02:50:17 uomes-iMac com.apple.launchd.peruser.89[34080] (com.apple.cfprefsd.xpc.agent[34085]): Exited: Killed: 9
Aug 17 02:50:17 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34085 [cfprefsd]
Aug 17 02:50:18 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34083]): Exited: Killed: 9
Aug 17 02:50:19 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34083 [SleepServicesD]
Aug 17 02:50:38 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34087]): Exited: Killed: 9
Aug 17 02:50:38 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34087 [SleepServicesD]
Aug 17 02:51:09 uomes-iMac.local mdworker[34088]: Unable to talk to lsboxd
Aug 17 02:51:12 uomes-iMac kernel[0]: Sandbox: sandboxd(34092) deny mach-lookup com.apple.coresymbolicationd
Aug 17 02:51:14 uomes-iMac com.apple.launchd.peruser.501[144] (com.apple.cfprefsd.xpc.agent[34090]): Exited: Killed: 9
Aug 17 02:51:14 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34090 [cfprefsd]
Aug 17 02:51:17 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34089]): Exited: Killed: 9
Aug 17 02:51:18 uomes-iMac.local sandboxd[34092] ([34088]): mdworker(34088) deny mach-lookup com.apple.ls.boxd
Aug 17 02:51:18 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34089 [SleepServicesD]
Aug 17 02:51:19 uomes-iMac com.apple.launchd.peruser.89[34080] (com.apple.distnoted.xpc.agent[34084]): Exited: Killed: 9
Aug 17 02:51:19 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34084 [distnoted]
Aug 17 02:51:23 uomes-iMac com.apple.launchd[1] (com.apple.cfprefsd.xpc.daemon[34091]): Exited: Killed: 9
Aug 17 02:51:23 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34091 [cfprefsd]
Aug 17 02:51:30 uomes-iMac com.apple.launchd.peruser.501[144] (com.apple.cfprefsd.xpc.agent[34094]): Exited: Killed: 9
Aug 17 02:51:30 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34094 [cfprefsd]
Aug 17 02:52:51 uomes-iMac com.apple.launchd.peruser.501[144] (com.apple.pbs[34096]): Exited: Killed: 9
Aug 17 02:52:52 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34096 [pbs]
Aug 17 02:52:58 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34093]): Exited: Killed: 9
Aug 17 02:52:58 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34093 [SleepServicesD]
Aug 17 02:53:10 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34098]): Exited: Killed: 9
Aug 17 02:53:10 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34098 [SleepServicesD]
Aug 17 02:53:23 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34099]): Exited: Killed: 9
Aug 17 02:53:23 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34099 [SleepServicesD]
Aug 17 02:53:35 uomes-iMac com.apple.launchd[1] (com.apple.sleepservicesd[34100]): Exited: Killed: 9
Aug 17 02:53:35 uomes-iMac kernel[0]: memorystatus_thread: idle exiting pid 34100 [SleepServicesD]
...
Sounds interesting. Where can I find more detailed information? Alternatively, can tmutil (or another app) just read all files from the backup drive to confirm readability (without comparing)?