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74 KKU Science Journal Volume 39 Number 1 <strong>Review</strong><br />

√Ÿª∑’Ë 3 a) ‡°√π (grain) ·≈–¢Õ∫‡°√π (grain boundary) µ“¡·∫∫®”≈ÕߢÕß Daniels (1976, 1978, 1979)<br />

b) °”·æß»—°¬å (potential barrier) ∑’Ë—Èπ¢Õ∫‡°√π (grain boundary layer) (∑’Ë¡“: ª√—∫ª√ÿß®“° Hill,<br />

1991)<br />

®–‡ÀÁπ«à“ ∑—Èß Daniels ·≈– Heywang µà“ß<br />

‡ÀÁπ«à“¢Õ∫‡°√π¢Õß BaTiO 3<br />

∑’ˇ®◊ե⫬µ—«„Àâ (donor<br />

doped BaTiO 3<br />

) ∑”Àπâ“∑’ˇªìπµ—«√—∫ (acceptor) ¢—¥¢«“ß<br />

°“√‡§≈◊ËÕπ∑’Ë¢ÕßÕ‘‡≈Á°µ√Õπ ª√“°Ø°“√≥å PTCR ®÷ß<br />

¢÷Èπ°—∫§«“¡Àπ“¢ÕߢÕ∫‡°√π ª°µ‘·≈⫧«“¡Àπ“<br />

¢ÕߢÕ∫‡°√π®–¢÷Èπ°—∫ªí®®—¬À≈“¬ª√–°“√ (Alles,<br />

1989; LaCourse, 1995; Kulwicki, 1981) ‡àπ ª√‘¡“≥<br />

‰ÕÕÕπ¢ÕßÕ–µÕ¡µ—«„Àâ∑’ˇ®◊Õ Õÿ≥À¿Ÿ¡‘∑’ˇº“ºπ÷°<br />

∫√√¬“°“»∑’Ë„â°“√‡º“ºπ÷°·≈–Õ—µ√“‡√Á«∑’Ë≈¥Õÿ≥À¿Ÿ¡‘<br />

‘Èπß“π≈ß¡“ (cooling rate) ‚¥¬∑—Ë«‰ª·≈â«°“√≈¥<br />

Õÿ≥À¿Ÿ¡‘≈ß¡“‡√Á«Ê ®–‰¥â¢Õ∫‡°√π∫“ßÊ ∑”„Àâ‘Èπß“π<br />

∑’ˉ¥â· ¥ß ¡∫—µ‘ PTCR ‰¥â¥’°«à“°“√≈¥Õÿ≥À¿Ÿ¡‘≈ß<br />

¡“Õ¬à“ßâ“Ê (Cho, 2006)<br />

·∫∫®”≈Õß·∫∫ ÿ¥∑⓬‡ªìπ·∫∫®”≈ÕߢÕß<br />

Jonker (1964, 1982) Õ∏‘∫“¬«à“ BaTiO 3<br />

‡ªìπ “√<br />

ª√–°Õ∫®”æ«°‡ø√å‚√Õ‘‡≈Á°∑√‘° ¥—ßπ—Èπ∑’ËÕÿ≥À¿Ÿ¡‘µË”<br />

°«à“Õÿ≥À¿Ÿ¡‘§Ÿ√’¢Õß BaTiO 3<br />

®÷ß¡’‚æ≈“‰√‡´—π‡°‘¥‡Õß<br />

(spontaneous polarization) ¿“¬„πº≈÷°¢Õß BaTiO 3<br />

·≈–¿“¬„πº≈÷°Àπ÷ËßÊ ¢Õß BaTiO 3<br />

ª√–°Õ∫¥â«¬<br />

À≈“¬Ê ‚¥‡¡π (domain) ´÷Ëß¿“¬„π·µà≈–‚¥‡¡π¡’°“√®—¥<br />

‡√’¬ß‚æ≈“‰√‡´—π‰ª„π∑‘»‡¥’¬«°—π¥—ß√Ÿª∑’Ë 4a ¥—ßπ—Èπ<br />

‚æ≈“‰√‡´—π ÿ∑∏‘√–À«à“߇°√π∑’ËÕ¬Ÿàµ‘¥°—π®–∑”„Àâ<br />

‡°‘¥ª√–®ÿ∑’˺‘« (surface charge) ¢ÕߢÕ∫‡°√π ¥—ß<br />

· ¥ß„π√Ÿª∑’Ë 4b ‚æ≈“‰√‡´—π ÿ∑∏‘®–∑”„À⇰√π∑’Ë¡’<br />

∑—ÈßÀ¡¥§√÷ËßÀπ÷Ëß¡’ª√–®ÿ∫«°∑’˺‘«·≈–‡°√π∑’ˇÀ≈◊ÕÕ’°<br />

§√÷ËßÀπ÷Ëß¡’ª√–®ÿ≈∫∑’˺‘« Jonker Õ∏‘∫“¬Õ’°«à“∑’ËÕÿ≥À¿Ÿ¡‘<br />

µË”°«à“Õÿ≥À¿Ÿ¡‘§Ÿ√’ª√–®ÿ≈∫∑’˺‘«®–À—°≈â“ßÀ√◊Õ¥‡¬<br />

°”·æß»—°¬å∑’Ë¢Õ∫‡°√π´÷Ë߇°‘¥®“°àÕß«à“ߢÕß·∫‡√’¬¡<br />

(Barium vacancies) ‡ªìπº≈„Àâ∑’ËÕÿ≥À¿Ÿ¡‘µË”°«à“Õÿ≥À¿Ÿ¡‘<br />

§Ÿ√’ BaTiO 3<br />

∑’ˇ®◊ե⫬‰ÕÕÕπµ—«„Àâ¡’§«“¡µâ“π∑“π<br />

‰øøÑ“µË” Õπ÷Ëߪ√–®ÿ∫«°∑’˺‘«‰¡à¡’º≈µàÕ°“√π”‰øøÑ“<br />

‡æ√“–Õ‘‡≈Á°µ√Õπ®–«‘Ë߉ªµ“¡∑“ß∑’Ë¡’°”·æß»—°¬åµË”<br />

Õ¬Ÿà·≈â« µàÕ¡“‡¡◊ËÕ‡æ‘Ë¡Õÿ≥À¿Ÿ¡‘¢÷Èπ‰ª Ÿß°«à“Õÿ≥À¿Ÿ¡‘<br />

§Ÿ√’ BaTiO 3<br />

®–‡ª≈’Ë¬π‰ª‡ªìπ “√ª√–°Õ∫®”æ«°æ“√“<br />

Õ‘‡≈Á°∑√‘°´÷Ë߉¡à¡’‚æ≈“‰√‡´—π‡°‘¥‡Õß (spontaneous<br />

polarization) ¥—ßπ—Èπ°”·æß»—°¬å∑’Ë¢Õ∫‡°√π®÷߉¡à∂Ÿ°<br />

À—°≈â“ß ∑”„Àâ BaTiO 3<br />

∑’ˇ®◊ե⫬‰ÕÕÕπµ—«„Àâ¡’§«“¡<br />

µâ“π∑“π‰øøÑ“ ŸßÊ ‡Àµÿ°“√≥套߰≈à“«‡°‘¥‰¥â‡√Á«¡“°<br />

‡¡◊ËÕ„À⧫“¡√âÕπ·°à BaTiO 3<br />

ºà“πÕÿ≥À¿Ÿ¡‘§Ÿ√’ ¥—ßπ—Èπ<br />

BaTiO 3<br />

∑’ˇ®◊ե⫬‰ÕÕÕπµ—«„Àâ®÷ß· ¥ß ¡∫—µ‘ PTCR<br />

¥—ß√Ÿª∑’Ë 1

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