what is quantum number?Also explain it's types?
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ʜɪɪ..... ғʀɴᴅ!! ʜᴇʀᴇ ɪs ᴜʀ ᴀɴs
ᴀ ɴᴜᴍʙᴇʀ ᴡʜɪᴄʜ ᴏᴄᴄᴜʀs ɪɴ ᴛʜᴇ ᴛʜᴇᴏʀᴇᴛɪᴄᴀʟ ᴇxᴘʀᴇssɪᴏɴ ғᴏʀ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ sᴏᴍᴇ ǫᴜᴀɴᴛɪᴢᴇᴅ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴀ sᴜʙsᴛᴀɴᴄᴇ ᴘᴀʀᴛɪᴄʟᴇ, ᴀᴛᴏᴍs. ᴏʀ ᴍᴏʟᴇᴄᴜʟᴇs ᴀɴᴅ ᴄᴀɴ ᴏɴʟʏ ʜᴀᴠᴇ ᴄᴇʀᴛᴀɪɴ ɪɴᴛᴇɢʀᴀʟ ᴏʀ ʜᴀʟғ-ɪɴᴛᴇɢʀᴀʟ ᴠᴀʟᴜᴇs.
ᴛʏᴘᴇs ᴏғ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ :
• ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ғɪʀsᴛ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴛʜᴇ ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ(ɴ) ᴡʜɪᴄʜ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ᴍᴀɪɴ ᴇɴᴇʀɢʏ ʟᴇᴠᴇʟ ᴀɴᴅ sɪᴢᴇ ᴏғ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪ.ᴇ. ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ ғʀᴏᴍ ᴛʜᴇ ɴᴜᴄʟᴇᴜs. ᴛʜᴇ ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴀʟsᴏ ʀᴇғᴇʀʀᴇᴅ ᴛᴏ ᴀs ᴀ sʜᴇʟʟ ᴀɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴏʀʙɪᴛᴀʟ ɪɴ ᴀ sʜᴇʟʟ ᴀɴᴅ ɪs ɢɪᴠᴇɴ ʙʏ ɴ2.
• ᴀɴɢᴜʟᴀʀ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ sᴇᴄᴏɴᴅ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɴᴀᴍᴇᴅ ᴀs ᴀᴢɪᴍᴜᴛʜᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴀʟsᴏ ᴋɴᴏᴡɴ ᴀs ᴏʀʙɪᴛᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴀʟsᴏ ᴋɴᴏᴡɴ ᴀs ᴏʀʙɪᴛᴀʟ ᴀɴɢᴜʟᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ, ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ 1. ɪᴛ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ sʜᴀᴘᴇ ᴀɴᴅ ᴛʏᴘᴇ ᴏғ ᴏʀʙɪᴛᴀʟ. ᴛʜᴇʀᴇ ᴀʀᴇ ғᴏᴜʀ ᴛʏᴘᴇs ᴏғ ᴏʀʙɪᴛᴀʟs ɪ. ᴇ s, ᴘ, ᴅ ᴀɴᴅ ғ. ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ 1 ʀᴀɴɢᴇs ғʀᴏᴍ ᴏ ᴛᴏ ɴ-1.
• ᴍᴀɢɴᴇᴛɪᴄ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ᴛʜɪʀᴅ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴍᴀɢɴᴇᴛɪᴄ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ ᴍ. ᴛʜɪs ᴅɪsᴄʀɪʙᴇs ᴛʜᴇ sᴘᴀᴛɪᴀʟ ᴏʀɪᴇɴᴛᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ. ᴛʜᴇ s-ᴏʀʙɪᴛᴀʟ ʜᴀs ᴏɴʟʏ ᴏɴᴇ ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴ, ᴘ-ᴏʀʙɪᴛᴀʟ ʜᴀs 3 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs, ᴅ-ᴏʀʙɪᴛᴀʟ 5 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs ᴀɴᴅ ғ-ᴏʀʙɪᴛᴀʟ ʜᴀs 7 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs ɪɴ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪs ɢɪᴠᴇɴ ᴀs 21 + 1.
• sᴘɪɴ ᴘʀᴏᴊᴇᴄᴛɪᴏɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ғᴏᴜʀᴛʜ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs sᴘɪɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ (Ms). ɪᴛ ᴅᴇᴀʟs ᴡɪᴛʜ ᴛʜᴇ sᴘɪɴ ᴏғ ᴀ ᴇʟᴇᴄᴛʀᴏɴ ɪɴ ᴀ sᴜʙsʜᴇʟʟ ᴀʙᴏᴜᴛ ᴀɴ ᴀxɪs. ᴛʜᴇ sᴘɪɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ɪɴᴛʀɪɴsɪᴄ ᴇʟᴇᴄᴛʀᴏɴɪᴄ sᴘɪɴ ɪɴ ᴡʜɪᴄʜ +12 ᴅᴇɴᴏᴛᴇs ᴛʜᴇ ᴄᴏᴜɴᴛᴇʀᴄʟᴏᴄᴋᴡɪsᴇ sᴘɪɴ ᴏғ ᴀɴ ᴇʟᴇᴄᴛʀᴏɴ ᴀɴᴅ -12 ʀᴇᴘʀᴇsᴇɴᴛs ᴛʜᴇ ᴄʟᴏᴄᴋᴡɪsᴇ sᴘɪɴ. ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ɴᴜᴍʙᴇʀ ᴏғ ᴇʟᴇᴄᴛʀᴏɴs ɪɴ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪs ᴛᴡᴏ ᴀɴᴅ ᴛʜᴇsᴇ ᴛᴡᴏ ᴇʟᴇᴄᴛʀᴏɴs sʜᴏᴜʟᴅ ʜᴀᴠᴇ ᴏᴘᴘᴏsɪᴛᴇ sᴘɪɴ.
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!!
ᴀ ɴᴜᴍʙᴇʀ ᴡʜɪᴄʜ ᴏᴄᴄᴜʀs ɪɴ ᴛʜᴇ ᴛʜᴇᴏʀᴇᴛɪᴄᴀʟ ᴇxᴘʀᴇssɪᴏɴ ғᴏʀ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ sᴏᴍᴇ ǫᴜᴀɴᴛɪᴢᴇᴅ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴀ sᴜʙsᴛᴀɴᴄᴇ ᴘᴀʀᴛɪᴄʟᴇ, ᴀᴛᴏᴍs. ᴏʀ ᴍᴏʟᴇᴄᴜʟᴇs ᴀɴᴅ ᴄᴀɴ ᴏɴʟʏ ʜᴀᴠᴇ ᴄᴇʀᴛᴀɪɴ ɪɴᴛᴇɢʀᴀʟ ᴏʀ ʜᴀʟғ-ɪɴᴛᴇɢʀᴀʟ ᴠᴀʟᴜᴇs.
ᴛʏᴘᴇs ᴏғ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ :
• ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ғɪʀsᴛ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴛʜᴇ ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ(ɴ) ᴡʜɪᴄʜ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ᴍᴀɪɴ ᴇɴᴇʀɢʏ ʟᴇᴠᴇʟ ᴀɴᴅ sɪᴢᴇ ᴏғ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪ.ᴇ. ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ ғʀᴏᴍ ᴛʜᴇ ɴᴜᴄʟᴇᴜs. ᴛʜᴇ ᴘʀɪɴᴄɪᴘᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴀʟsᴏ ʀᴇғᴇʀʀᴇᴅ ᴛᴏ ᴀs ᴀ sʜᴇʟʟ ᴀɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴏʀʙɪᴛᴀʟ ɪɴ ᴀ sʜᴇʟʟ ᴀɴᴅ ɪs ɢɪᴠᴇɴ ʙʏ ɴ2.
• ᴀɴɢᴜʟᴀʀ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ sᴇᴄᴏɴᴅ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɴᴀᴍᴇᴅ ᴀs ᴀᴢɪᴍᴜᴛʜᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴀʟsᴏ ᴋɴᴏᴡɴ ᴀs ᴏʀʙɪᴛᴀʟ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴀʟsᴏ ᴋɴᴏᴡɴ ᴀs ᴏʀʙɪᴛᴀʟ ᴀɴɢᴜʟᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ, ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ 1. ɪᴛ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ sʜᴀᴘᴇ ᴀɴᴅ ᴛʏᴘᴇ ᴏғ ᴏʀʙɪᴛᴀʟ. ᴛʜᴇʀᴇ ᴀʀᴇ ғᴏᴜʀ ᴛʏᴘᴇs ᴏғ ᴏʀʙɪᴛᴀʟs ɪ. ᴇ s, ᴘ, ᴅ ᴀɴᴅ ғ. ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ 1 ʀᴀɴɢᴇs ғʀᴏᴍ ᴏ ᴛᴏ ɴ-1.
• ᴍᴀɢɴᴇᴛɪᴄ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ᴛʜɪʀᴅ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴍᴀɢɴᴇᴛɪᴄ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ ᴍ. ᴛʜɪs ᴅɪsᴄʀɪʙᴇs ᴛʜᴇ sᴘᴀᴛɪᴀʟ ᴏʀɪᴇɴᴛᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ. ᴛʜᴇ s-ᴏʀʙɪᴛᴀʟ ʜᴀs ᴏɴʟʏ ᴏɴᴇ ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴ, ᴘ-ᴏʀʙɪᴛᴀʟ ʜᴀs 3 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs, ᴅ-ᴏʀʙɪᴛᴀʟ 5 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs ᴀɴᴅ ғ-ᴏʀʙɪᴛᴀʟ ʜᴀs 7 ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴘᴏssɪʙʟᴇ ᴘᴏsɪᴛɪᴏɴs ɪɴ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪs ɢɪᴠᴇɴ ᴀs 21 + 1.
• sᴘɪɴ ᴘʀᴏᴊᴇᴄᴛɪᴏɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ: ᴛʜᴇ ғᴏᴜʀᴛʜ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ɪs sᴘɪɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ (Ms). ɪᴛ ᴅᴇᴀʟs ᴡɪᴛʜ ᴛʜᴇ sᴘɪɴ ᴏғ ᴀ ᴇʟᴇᴄᴛʀᴏɴ ɪɴ ᴀ sᴜʙsʜᴇʟʟ ᴀʙᴏᴜᴛ ᴀɴ ᴀxɪs. ᴛʜᴇ sᴘɪɴ ǫᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ɪɴᴛʀɪɴsɪᴄ ᴇʟᴇᴄᴛʀᴏɴɪᴄ sᴘɪɴ ɪɴ ᴡʜɪᴄʜ +12 ᴅᴇɴᴏᴛᴇs ᴛʜᴇ ᴄᴏᴜɴᴛᴇʀᴄʟᴏᴄᴋᴡɪsᴇ sᴘɪɴ ᴏғ ᴀɴ ᴇʟᴇᴄᴛʀᴏɴ ᴀɴᴅ -12 ʀᴇᴘʀᴇsᴇɴᴛs ᴛʜᴇ ᴄʟᴏᴄᴋᴡɪsᴇ sᴘɪɴ. ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ɴᴜᴍʙᴇʀ ᴏғ ᴇʟᴇᴄᴛʀᴏɴs ɪɴ ᴀɴ ᴏʀʙɪᴛᴀʟ ɪs ᴛᴡᴏ ᴀɴᴅ ᴛʜᴇsᴇ ᴛᴡᴏ ᴇʟᴇᴄᴛʀᴏɴs sʜᴏᴜʟᴅ ʜᴀᴠᴇ ᴏᴘᴘᴏsɪᴛᴇ sᴘɪɴ.
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!!
I don't understand what you say
ɪ ɢɪᴠᴇ ᴛʜᴇ ᴅᴇғɪɴɪᴛɪᴏɴ ᴏғ ǫᴜᴀɴᴛᴜᴍ ᴀɴᴅ ᴇxᴘʟᴀɪɴ ᴀʟʟ ᴛʜɪs ᴛʏᴘᴇs
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quantum numbers are the sets of numerical values that give acceptable values to the Schrödinger wave equation for hydrogen atom.
the number of types of quantum numbers has no universal answer, but in practical there are four types of quantum numbers..
1. principal, 2. magnetic 3. angular. 4. spin
the number of types of quantum numbers has no universal answer, but in practical there are four types of quantum numbers..
1. principal, 2. magnetic 3. angular. 4. spin
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