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Stockholders’ Deficit (Details) - USD ($) |  |  |  |  |  |  | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Mar. 31, 2024 | Feb. 29, 2024 | Jan. 31, 2024 | Jun. 09, 2023 | Apr. 05, 2023 | Feb. 28, 2023 | Mar. 31, 2024 | Dec. 31, 2023 | Dec. 29, 2023 | Dec. 31, 2022
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Preferred stock shares authorized | 25,000,000 |  |  |  |  |  | 25,000,000 |  |  |
Preferred stock par value (in Dollars per share) | $ 0.0001 |  |  |  |  |  | $ 0.0001 |  |  |
TemporaryEquitySharesOutstanding |  |  |  |  |  |  |  |  |  |
Preferred stock issued |  |  |  |  |  |  |  |  |  |
Share voting |  |  |  |  |  |  | one |  |  |
Capital stock percentage |  |  |  |  |  |  | 80.00% |  |  |
Aggregate percentage |  |  |  |  |  |  | 33.00% |  |  |
Exercise price per share (in Dollars per share) | $ 18 |  |  |  |  |  | $ 18 |  |  |
Expected transaction proceeds (in Dollars) |  |  |  |  |  |  | $ 50,000,000 |  |  |
Purchase option | 2,141,839 | 2,141,839 | 2,141,839 |  |  |  |  |  |  |
Cash proceeds (in Dollars) |  |  |  |  |  |  | 40,000,000 |  |  |
Subscription receivable (in Dollars) | $ 6,000,000 |  |  |  |  |  | 6,000,000 |  |  |
Exercised of warrants | 380,771 | 380,771 | 380,771 |  |  |  |  |  |  |
Stock Issued During Period, Value, Stock Options Exercised (in Dollars) | $ 45,760 | $ 45,760 | $ 45,760 |  |  |  | 45,760 |  |  |
Granted options |  |  |  |  | 383,151 |  |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  | $ 0.49 |  |  |  |  |
Exercise term (in Dollars per share) |  |  |  |  | 7 |  |  |  |  |
Grant date fair value (in Dollars per share) |  |  |  |  | $ 0.14 |  |  |  |  |
total purchase price (in Dollars) | $ 56,250 | $ 56,250 | $ 56,250 |  |  |  | $ 56,250 |  |  |
Options outstanding | 1,335,080 |  |  |  |  |  | 1,335,080 |  |  |
Public Warrants [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Outstanding warrants | 14,375,000 |  |  |  |  |  | 14,375,000 |  |  |
Exercise price per share (in Dollars per share) | $ 0.01 |  |  |  |  |  | $ 0.01 |  |  |
December 7, 2030 [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  |  |  | 594,955 |  |  |
March 15, 2031 [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  |  |  | 71,395 |  |  |
April 8, 2031 [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  |  |  | 285,579 |  |  |
April 4, 2030 [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  |  |  | 383,151 |  |  |
Montana Technologies LLC [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Converted shares |  |  |  |  |  | 105,331 |  |  |  |
Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Preferred stock shares authorized |  |  |  |  |  |  |  | 1,000,000 |  |
Preferred stock par value (in Dollars per share) |  |  |  |  |  |  |  | $ 0.0001 |  |
Common stock redemption price (in Dollars per share) |  |  |  | $ 10.37 |  |  |  |  |  |
Trust account (in Dollars) |  |  |  |  |  |  |  | $ 114,641,527 |  | $ 294,395,846
Percentage of common stock |  |  |  |  |  |  |  | 20.00% |  |
Threshold period for effective within statement after business combination |  |  |  |  |  |  |  | 60 days |  |
Warrant and outstanding term |  |  |  |  |  |  |  | 5 years |  |
Price threshold of newly issued stock price (in Dollars per share) |  |  |  |  |  |  |  | $ 9.2 |  |
Percentage of equity proceeds from issuance |  |  |  |  |  |  |  | 60.00% |  |
Minimum number of trading days |  |  |  |  |  |  |  | 20 days |  |
Percentage of warrant exercise price |  |  |  |  |  |  |  | 115.00% |  |
Redemption trigger price (in Dollars per share) |  |  |  |  |  |  |  | $ 18 |  |
Equal or exceed redemption price (in Dollars per share) |  |  |  |  |  |  |  | $ 18 |  |
Power & Digital Infrastructure Acquisition II Corp. [Member] | Public Warrants [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Outstanding warrants |  |  |  |  |  |  |  | 14,375,000 |  |
Threshold period for filling registration statement after business combination |  |  |  |  |  |  |  | 20 days |  |
Redemption price per warrant (in Dollars per share) |  |  |  |  |  |  |  | $ 0.01 |  |
Threshold trading days for redemption of public warrants |  |  |  |  |  |  |  | 20 days |  |
Threshold consecutive trading days for redemption of public warrants |  |  |  |  |  |  |  | 30 days |  |
Stock price trigger for redemption of public warrants (in Dollars per share) |  |  |  |  |  |  |  | $ 18 |  |
Power & Digital Infrastructure Acquisition II Corp. [Member] | Warrants [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  |  | $ 11.5 |  |
Power & Digital Infrastructure Acquisition II Corp. [Member] | Preferred Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
TemporaryEquitySharesOutstanding |  |  |  |  |  |  |  |  |  |
Preferred stock issued |  |  |  |  |  |  |  |  |  |
Class A Common Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Common stock authorized | 600,000,000 |  |  |  |  |  | 600,000,000 | 600,000,000 |  |
Common stock par value (in Dollars per share) | $ 0.0001 |  |  |  |  |  | $ 0.0001 | $ 0.0001 |  |
Common stock outstanding | 49,063,770 |  |  |  |  |  | 49,063,770 | 32,731,583 |  |
Common stock issued | 49,063,770 |  |  |  |  |  | 49,063,770 | 32,731,583 |  |
Purchase warrants | 1 |  |  |  |  |  | 1 |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  | $ 11.5 |  |  |
Class A Common Stock [Member] | Public Warrants [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Purchase warrants | 1 |  |  |  |  |  | 1 |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  | $ 11.5 |  |  |
Class A Common Stock [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Purchase option |  |  |  |  |  |  | 2,141,839 |  |  |
Exercised of warrants |  |  |  |  |  |  | 380,771 |  |  |
Stock Issued During Period, Value, Stock Options Exercised (in Dollars) |  |  |  |  |  |  | $ 38 |  |  |
total purchase price (in Dollars) |  |  |  |  |  |  | $ 214 |  |  |
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
TemporaryEquitySharesOutstanding |  |  |  |  |  |  |  | 10,608,178 |  | 28,750,000
Preferred stock issued |  |  |  |  |  |  |  | 10,608,178 |  | 28,750,000
Common stock par value (in Dollars per share) |  |  |  |  |  |  |  |  | $ 0.0001 |
Share voting |  |  |  |  |  |  |  | one |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  |  | $ 11.5 |  |
Common stock, subject to possible redemption |  |  |  |  |  |  |  | 10,608,178 |  | 28,750,000
Stockholders elected to redeem shares |  |  |  | 18,141,822 |  |  |  | 18,141,822 |  |
Common stock redemption price (in Dollars per share) |  |  |  |  |  |  |  | $ 10.37 |  |
Aggregate redemption amount (in Dollars) |  |  |  | $ 188,132,132 |  |  |  | $ 188,132,132 |  |
Shares authorized unissued |  |  |  |  |  |  |  | 489,391,282 |  |
Price threshold of newly issued stock price (in Dollars per share) |  |  |  |  |  |  |  | $ 9.2 |  |
Percentage of warrant exercise price |  |  |  |  |  |  |  | 180.00% |  |
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Class A Common Stock Equals Or Exceeds Threshold One Member |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Target share price of warrants or rights for redemption (in Dollars per share) |  |  |  |  |  |  |  | $ 18 |  |
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
TemporaryEquitySharesOutstanding |  |  |  |  |  |  |  | 10,608,178 |  | 28,750,000
Common stock authorized |  |  |  |  |  |  |  | 500,000,000 |  |
Common stock par value (in Dollars per share) |  |  |  |  |  |  |  | $ 0.0001 |  |
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Stockholders’ [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Common stock outstanding |  |  |  |  |  |  |  | 10,608,178 |  |
Common stock issued |  |  |  |  |  |  |  | 10,608,178 |  |
Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Common stock authorized | 50,000,000 |  |  |  |  |  | 50,000,000 | 50,000,000 |  |
Common stock par value (in Dollars per share) | $ 0.0001 |  |  |  |  |  | $ 0.0001 | $ 0.0001 |  |
Common stock outstanding | 4,759,642 |  |  |  |  |  | 4,759,642 | 4,759,642 |  |
Common stock issued | 4,759,642 |  |  |  |  |  | 4,759,642 | 4,759,642 |  |
Class B Common Stock [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Purchase option |  |  |  |  |  |  |  |  |  |
Exercised of warrants |  |  |  |  |  |  |  |  |  |
Stock Issued During Period, Value, Stock Options Exercised (in Dollars) |  |  |  |  |  |  |  |  |  |
total purchase price (in Dollars) |  |  |  |  |  |  |  |  |  |
Class B Common Stock [Member] | Montana Technologies Corporation’s [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Purchase option |  |  |  |  |  |  | 5,807,647 |  |  |
Class B Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Common stock authorized |  |  |  |  |  |  |  | 50,000,000 |  | 50,000,000
Common stock par value (in Dollars per share) |  |  |  |  |  |  |  | $ 0.0001 |  | $ 0.0001
Common stock outstanding |  |  |  |  |  |  |  | 7,187,500 |  | 7,187,500
Common stock issued |  |  |  |  |  |  |  | 7,187,500 |  | 7,187,500
Shares authorized unissued |  |  |  |  |  |  |  | 42,812,500 |  |
Class B Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Stockholders’ [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Common stock outstanding |  |  |  |  |  |  |  | 7,187,500 |  |
Common stock issued |  |  |  |  |  |  |  | 7,187,500 |  |
Series B Preferred Units [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Preferred units |  |  |  |  |  | 4,426 |  |  |  |
Private Placement Warrants [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Outstanding warrants | 11,125,000 |  |  |  |  |  | 11,125,000 |  |  |
Private Placement Warrants [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Outstanding warrants |  |  |  |  |  |  |  |  |  | 11,125,000
Exercise price per share (in Dollars per share) |  |  |  |  |  |  |  | $ 1 |  |
Private Placement Warrants [Member] | Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  |  | 11.5 |  |
Public Warrants [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] |  |  |  |  |  |  |  |  |  |
Stockholders Deficit [Line Items] |  |  |  |  |  |  |  |  |  |
Equal or exceed redemption price (in Dollars per share) |  |  |  |  |  |  |  | $ 18 |  |

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