What's the difference between archduke and archdukedom?

Archduke

Definition:

(n.) A prince of the imperial family of Austria.

Example Sentences:

(1) But he and Mozart were both freemasons and, at a time when the movement was regarded by the Archduke as a potentially subversive political threat, sought to create an opera that is about spiritual trial and initiation.
(2) A descendant of the Archduke Franz Ferdinand, whose assassination in Sarajevo triggered the first world war, has said that his family should not be blamed for causing the war that led to 37 million people killed or wounded.
(3) In two years, Europeans will commemorate the centennial of the assassination of Archduke Franz Ferdinand on 28 June 1914, and the subsequent "July crisis" that triggered the first world war that August.
(4) It was, after all, a single terrorist, Gavrilo Princip, who on June 28 a century ago precipitated the Great War in Europe when he assassinated the Archduke and Archduchess of Austria on a Sarajevo street.
(5) "I think you mean," retorts Blackadder wearily, "it started when the Archduke of Austro-Hungary got shot."
(6) Few at the time paid much heed to the assassination of Archduke Franz Ferdinand and his wife as they drove through the streets of Sarajevo.
(7) Then there is the "Sarajevo effect" - the propensity for a problem in a seemingly unimportant corner of the globe to spread chaos, named after the Balkan city in which Archduke Franz Ferdinand was assassinated in June 1914 - an event that, by that, by August, had led to the outbreak of the first world war.
(8) During this rendezvous, potential assassination targets were discussed, including the Archduke Franz Ferdinand of Austria, whose murder by the Bosnian Serb Gavrilo Princip six months later in June 1914 would trigger the outbreak of the Great War.
(9) But it's just as rewarding to walk streets of churches, synagogues and mosques, browse oriental-style shops, and see the bridge where Gavrilo Princip shot Archduke Franz Ferdinand in 1914.
(10) The fatal shooting of the Austrian archduke on 28 June 1914, by the 19-year-old Bosnian Serb Gavrilo Princip, is widely held to have triggered a chain reaction that dragged Russia, Germany and eventually France and Britain into war.
(11) Up until then, the death of Archduke Franz Ferdinand was seen as merely a local affair and nothing to worry about.