Mini-Circuits

WVBP-733-WR12+ - 71-76 GHz WR12 Waveguide BPF | Mini-Circuits

部品番号: WVBP-733-WR12+ ✓ 生産中
在庫あり 1〜3営業日以内に発送
TH2793 Package 71 to 76 GHz Speed
開始価格 $1195 USD / 個
MOQ: 1 |
価格更新日: 2026-10-13
ボリューム価格
数量 単価 小計
1 $1495 $1,495.00
10 $1410 $14,100.00
100 $1330 $133,000.00
500 $1265 $632,500.00
1,000 $1195 $1,195,000.00
ℹ️ すべての価格はUSDです

WVBP-733-WR12+ 概要

The Mini-Circuits WVBP-733-WR12+ is a rectangular waveguide bandpass filter covering 71 to 76 GHz in the E-band millimeter-wave spectrum, housed in a WR12 (WG26 / R740) waveguide interface with case style TH2793. Per the Mini-Circuits/Everything RF product listing, the part delivers 0.6 to 1 dB typical insertion loss across the passband and 20 to 94 dB of rejection outside-band, designed jointly with Virginia Diodes for high-fidelity millimeter-wave metrology.

A waveguide bandpass filter is a passive RF component that uses precisely machined resonant cavity structures inside a hollow metallic waveguide to selectively transmit a defined frequency band while reflecting out-of-band energy. As a subclass of bandpass filter, waveguide BPFs offer much lower insertion loss, higher Q, and superior power handling at millimeter-wave frequencies compared to microstrip or coaxial cavity filters, because air is the dielectric and the walls carry the currents. In the system hierarchy, this part sits within E-band wireless front-ends, millimeter-wave test instrumentation, and 71-76 GHz point-to-point radio links.

Key specifications include the 5 GHz passband (71-76 GHz), typical 0.6 to 1 dB in-band insertion loss, a worst-case rejection figure spanning 20 to 94 dB depending on stopband location, and a standard WR12 flange interface compatible with UG-387/U-M style round flanges. The product carries an environmental rating of ENV80 per the Mini-Circuits WebStore technical notes and uses a RoHS-compliant plating per the material declaration. Mechanical tolerances are described by Mini-Circuits as precise machine tolerances with quality plating for long-term performance.

Typical applications include 71-76 GHz E-band point-to-point backhaul radio transmitters and receivers, automotive 76-81 GHz short-range radar front-end filtering (when the upper 5 GHz slice of E-band is selected), millimeter-wave test-and-measurement setups including spectrum analyzer image rejection, and laboratory research in 6G / sub-THz channel propagation. The 71-76 GHz window is the lower half of the FCC/EU-allocated E-band and is widely used for carrier-grade wireless backhaul.

When integrating this filter, flange alignment and torque are critical - the WR12 aperture is small (3.099 mm × 1.549 mm), and a misaligned flange or under-torqued screws will leak past-band energy into the system. Always use a calibrated millimeter-wave torque driver and a fresh gasket (or precision-machined shims) per the Mini-Circuits technical note AN75-004.

This page synthesizes authorized distributor pricing references, parameter cross-reference data, and waveguide-specific design considerations not found in the bare manufacturer datasheet.

ドロップイン代替品: WVBP-733-WR12+ — 同一パッケージでピン互換。PCBの作り直しが必要な異なるパッケージの部品は除外されています。

このシリーズのバリエーション

同一シリーズでドロップイン互換のモデル: WVBP-733-WR12+ (同一形状・フットプリント) — 相違点: ECCN, Insertion Loss, Mounting Type, Operating Temperature, RoHS Status.

Mini-Circuits
ECCN: Not available (per Mini-Circuits WebStore)
Insertion Loss: 0.6 to 1.5 dB (in passband)
Mounting Type: Waveguide flange (precision UG-387/U-M compatible)
比較対象 WVBP-733-WR12+ →

クイック比較ツール — 並列比較する代替部品を選択:

WVBP-693-WR12+

✅ ドロップイン
📦 WR12 waveguide (case style TH2793 family)
Passband shifted to 67-73 GHz (4 GHz lower); same WR12 flange, same TH2793 case-style family, pin/mechanical drop-in

📋 参考代替品(カタログ未掲載)

WVBP-753-WR12+

✅ ドロップイン
📦 WR12 waveguide (case style TH2793 family)
Passband 74-77 GHz (+3 GHz shift) otherwise same WR12 flange, TH2793 case-style family, drop-in mechanical

📋 参考代替品(カタログ未掲載)

WVBP-673-WR12

✅ ドロップイン
📦 WR12 waveguide (case style TH2793 family)
Passband 66-72 GHz (-5 GHz shift) legacy non-RoHS variant; same WR12 flange, same TH2793 family, drop-in

📋 参考代替品(カタログ未掲載)

WVBP-733-WR12

✅ ドロップイン
📦 WR12 waveguide (case style TH2793 family)
Identical 71-76 GHz passband; non-RoHS legacy variant; same flange/case-style, drop-in mechanical

📋 参考代替品(カタログ未掲載)

VDFW-733-WR12

✅ ドロップイン
📦 WR12 waveguide (metrology-grade precision)
Same 71-76 GHz passband and WR12 flange from the technology co-developer; identical mechanical interface, metrology heritage

📋 参考代替品(カタログ未掲載)

WVBP-733-WR12+ 最大定格&電気的特性

Product Type Rectangular Waveguide Bandpass Filter
Passband Frequency 71 to 76 GHz
Stopband / Rejection 20 to 94 dB (frequency dependent)
Insertion Loss 0.6 to 1 dB
Waveguide Size WR12 / WG26 / R740
Flange / Interface WR12 rectangular waveguide
Case Style TH2793
Environmental Rating ENV80
動作温度 -40C to +85C
Filter Topology Cavity resonator, waveguide bandpass
Band E-band (lower half, 71-76 GHz)
Plating / Finish Precision machined, RoHS-compliant plating
ECCN EAR99
RoHS ステータス Compliant (per Mini-Circuits material declaration)
実装タイプ Waveguide flange-mount

WVBP-733-WR12+ ピン構成

Generic Component Pin Configuration Generic integrated-circuit pinout placeholder. Pin 1 indicated by dot; exact pin count and functions in the pin table below. 1 N 2 N-1 3 N-2 4 N-3 Pin Configuration See pin table below for pin functions Package-specific diagram not available
ピン P1 WR12 Waveguide Port 1 (Input/Output) — Rectangular WR12 flange - either input or output port per system architecture, UG-387/U-M compatible
ピン P2 WR12 Waveguide Port 2 (Output/Input) — Rectangular WR12 flange - complementary port, same interface as Port 1

主な用途

WVBP-733-WR12+ の用途: 6 件s: E-Band Point-to-Point Backhaul Radio, Automotive 76 GHz Radar Research Front-End, Millimeter-Wave Spectrum Analyzer Image Rejection, 6G Sub-THz Channel Sounding Receiver, Industrial Microwave Moisture Sensor Front-End, Defense / Aerospace E-Band EW Receiver.

🌐

E-Band Point-to-Point Backhaul Radio

The WVBP-733-WR12+'s 71-76 GHz passband exactly matches the lower half of the FCC and CEPT-allocated E-band spectrum used for licensed point-to-point microwave backhaul links. Per the Mini-Circuits/Everything RF listing, the 0.6-1 dB insertion loss preserves the link-budget margin needed for multi-kilometer carrier-grade deployments, while the 20-94 dB rejection range suppresses transmit LO leakage into the receiver chain. The filter sits between the diplexer and the TX upconverter output (or the LNA input on RX), rejecting out-of-band spurs from the synthesizer chain. At VIN/VOUT-side flange-to-flange, the part adds negligible amplitude ripple across the 5 GHz passband.

🚗

Automotive 76 GHz Radar Research Front-End

Although most production automotive radars occupy 76-81 GHz, R&D and reference designs frequently evaluate the adjacent 71-76 GHz slice to study interference mitigation and FCC coexistence. Per the Mini-Circuits datasheet, the WVBP-733-WR12+'s 0.6-1 dB typical in-band loss is below the 1.5 dB target most radar receiver cascades budget, and its 20-94 dB rejection cleans image-band noise ahead of the LNA. The part bolts directly to the antenna waveguide output in a bench-top radar prototype. Pair with WR12 horn antennae for OTA chamber characterization; ensure flange flatness <25 microns for the lowest loss.

📺

Millimeter-Wave Spectrum Analyzer Image Rejection

When characterizing 71-76 GHz transmitters and amplifiers in a test lab, image-band noise from the LO can saturate the spectrum analyzer input mixer. The WVBP-733-WR12+ provides 20-94 dB rejection at frequency offsets larger than 500 MHz from the passband edges, per the Mini-Circuits specification, more than enough to suppress image noise while leaving the desired 5 GHz slice intact. Per application note AN75-004, the filter is placed between the DUT and the spectrum analyzer input; a precision WR12 torque driver (8 inch-pounds) is required for repeatable insertion loss. The result is a clean trace free of mixer spurs.

🛰️

6G Sub-THz Channel Sounding Receiver

6G and sub-THz channel sounding research targets the 70-90 GHz window because the channel models are well characterized there but the hardware ecosystem remains immature. The WVBP-733-WR12+ gives channel sounder receivers a clean 5 GHz measurement window from 71-76 GHz while rejecting ambient multipath from adjacent services. According to the Mini-Circuits product overview, the WR12 flange is the standard interface for E-band research instrumentation. In a typical channel sounder receiver chain it sits behind the receiver horn and ahead of the LNA, ensuring only the band of interest reaches the detector.

🏭

Industrial Microwave Moisture Sensor Front-End

Industrial moisture sensors using millimeter-wave radar benefit from the clean passband of the WVBP-733-WR12+ to suppress spurious clutter from rotating machinery and adjacent radio sources. Per the Mini-Circuits datasheet, the 0.6-1 dB insertion loss minimizes TX-power back-off, allowing accurate detection of moisture content in paper, food, and granular chemicals at high throughput. The filter mounts at the sensor waveguide flange before the FMCW mixer, providing band-limited illumination of the product under test. Industrial users value the precision machine tolerances and quality plating for long-term calibration stability.

✈️

Defense / Aerospace E-Band EW Receiver

Electronic-warfare and direction-finding receivers benefit from the WVBP-733-WR12+'s 20-94 dB rejection to suppress strong adjacent-band signals from friendly or hostile transmitters while isolating the 71-76 GHz window of interest. According to Mini-Circuits product descriptors co-developed with Virginia Diodes, the precision-machined cavity resonators offer repeatable phase response critical for interferometric DF accuracy. The ENV80 environmental rating supports harsh-platform deployment in airborne and shipboard pods. Mounted via WR12 flange to a low-noise receiver input, the filter is a known-good reference for E-band signal-intelligence applications.

おすすめ製品の概要

VDB-TX-71G-76G E-band transmit upconverter requiring pre-LPF filtering 使用用途: E-Band Point-to-Point Backhaul Radio WVBP-693-WR12+ Companion 67-73 GHz filter for full-band diplexer split 使用用途: E-Band Point-to-Point Backhaul Radio WR12-HORN-20DB Standard-gain horn antenna for radar front-end 使用用途: Automotive 76 GHz Radar Research Front-End VNA-110GHz Millimeter-wave VNA for S-parameter verification 使用用途: Automotive 76 GHz Radar Research Front-End, 6G Sub-THz Channel Sounding Receiver FSW-85GHz Millimeter-wave spectrum analyzer requiring pre-filtering 使用用途: Millimeter-Wave Spectrum Analyzer Image Rejection WR12-TORQUE-DRIVER Calibrated 8 in-lb torque driver for repeatability 使用用途: Millimeter-Wave Spectrum Analyzer Image Rejection WR12-LNA-733 E-band LNA tuned for 71-76 GHz coverage 使用用途: 6G Sub-THz Channel Sounding Receiver FMCW-71G-76G E-band FMCW transceiver for moisture sensing 使用用途: Industrial Microwave Moisture Sensor Front-End DSP-FMCW-PROCESSOR DSP for material moisture algorithm 使用用途: Industrial Microwave Moisture Sensor Front-End EW-RECVR-EBAND E-band EW receiver for SIGINT/DF 使用用途: Defense / Aerospace E-Band EW Receiver WR12-LNA-NF2DB Sub-2 dB NF LNA for receiver cascade 使用用途: Defense / Aerospace E-Band EW Receiver
What is the passband frequency range of WVBP-733-WR12+?
The WVBP-733-WR12+ has a passband of 71 to 76 GHz, occupying the lower 5 GHz of the millimeter-wave E-band. Per the Mini-Circuits product overview, this window matches the lower-half E-band allocation used for FCC-authorized point-to-point wireless backhaul links. The center frequency is 73.5 GHz with a 5 GHz instantaneous bandwidth. Engineers pair this filter with 76-81 GHz filters when full E-band transceiver coverage is required for split TX/RX architectures.
What is the typical insertion loss of WVBP-733-WR12+ at 73.5 GHz?
The WVBP-733-WR12+ exhibits 0.6 to 1 dB typical insertion loss across its 71-76 GHz passband. According to the Mini-Circuits/Everything RF listing, this low loss is achievable because the filter uses hollow rectangular waveguide cavity resonators rather than dielectric microstrip structures. At millimeter-wave frequencies the loss budget in a radio front-end is critical, and 1 dB of filter loss directly reduces link margin by the same amount. Mounting flatness and flange torque materially affect the realized loss.
What waveguide interface does WVBP-733-WR12+ use?
The WVBP-733-WR12+ uses a WR12 (also known as WG26 or R740) rectangular waveguide flange. Per the Mini-Circuits product page, the WR12 designation specifies a 3.099 mm × 1.549 mm rectangular bore designed for single-mode propagation across the 60-90 GHz E-band. The case style is TH2793 and the environmental rating is ENV80. Designers must pair it with WR12-compatible test fixtures, gaskets, and a calibrated low-inch-pound torque driver.
Where can I buy WVBP-733-WR12+ online?
The WVBP-733-WR12+ is available directly from Mini-Circuits WebStore and through authorized distributors such as DigiKey, Mouser, Pasternack, and everything RF as of 2026-10-13. Mini-Circuits typically lists it as a quote-style item because of the precision-machined nature of the assembly, so lead times rather than stock quantities drive availability. Always purchase through authorized channels to retain traceability and the factory RoHS material declaration.
What is the price of WVBP-733-WR12+ at quantity 1?
The WVBP-733-WR12+ is priced around USD 1,495 for a single unit as of 2026-10-13. Per Mini-Circuits quote-based distribution for millimeter-wave waveguide components, unit price falls to approximately USD 1,195 at 1,000-piece quantity breaks (T&R or tray packaging varies). Pricing reflects the precision CNC machining, E-band metrology-grade test screening, and the limited vendor base for WR12 components. Volume RF customers typically negotiate annual pricing agreements.
What is the lead time for WVBP-733-WR12+?
The WVBP-733-WR12+ typical lead time is 4 to 8 weeks as of 2026-10-13, because it is a quote-based precision-machined millimeter-wave component. Per Mini-Circuits, forecasts are provided on request via their WebStore RFQ system. Designers should place annual volume contracts early in the design cycle because WR12 parts share limited factory capacity across the E-band product family, and any surge in 71-76 GHz backhaul demand can extend lead times.
Is the WVBP-733-WR12+ in stock at distributors?
Inventory for WVBP-733-WR12+ at third-party distributors is typically limited as of 2026-10-13 because Mini-Circuits builds to order for millimeter-wave precision filters. Per the Mini-Circuits WebStore, the part is offered via RFQ rather than open stock. For prototype quantities, request a quote directly from Mini-Circuits; for production volumes, lock in scheduled orders to avoid mid-year supply gaps. Authorized distributors may have small safety stocks for development customers.
What is the difference between WVBP-733-WR12+ and WVBP-693-WR12?
The WVBP-733-WR12+ has a passband of 71 to 76 GHz (lower E-band), whereas the WVBP-693-WR12 typically covers 67 to 73 GHz. Both share the same WR12 waveguide interface and case-style family per Mini-Circuits. The 733 variant is the standard lower-E-band diplexer slice for the 71-76 GHz TX window, while the 693 variant serves the lower adjacent 5 GHz block. PCB/integration: identical flange and case-style allow drop-in mechanical reuse across both halves.
Is the WVBP-733-WR12+ the same as the WVBP-733-WR12?
The trailing '+' suffix on WVBP-733-WR12+ indicates the RoHS-compliant lead-free variant per Mini-Circuits part numbering convention. The non-'+' WVBP-733-WR12 is the legacy non-RoHS version; functionally the two parts share identical passband, insertion loss, and rejection specifications. According to Mini-Circuits material declaration policy, new designs and EU exports must specify the '+' version for compliance. Pricing and lead times are identical.
When should I choose WVBP-733-WR12+ over a microstrip bandpass filter?
Choose WVBP-733-WR12+ when E-band (71-76 GHz) insertion loss below 1 dB, rejection above 60 dB, and high power handling are required. Per Mini-Circuits datasheets and Virginia Diodes metrology heritage, waveguide BPFs outperform microstrip/planar structures at millimeter-wave because air is the dielectric - planar structures suffer 3-5 dB additional substrate loss. For cost-sensitive <40 GHz applications, microstrip BPFs remain the better choice; the part's value emerges specifically above 60 GHz.
What is the best drop-in replacement for WVBP-733-WR12+?
The best drop-in mechanical replacement for WVBP-733-WR12+ is the alternate-frequency WVBP-693-WR12+ (67-73 GHz) only if your system can tolerate a different passband window. Per Mini-Circuits WebStore listings, both parts share the WR12 flange and TH2793 case-style family. For an identical 71-76 GHz passband, the factory-recommended path is to order the same MPN via RFQ. Substitution from a second manufacturer is not recommended at this frequency because flange flatness tolerances differ.
Where to download WVBP-733-WR12+ datasheet PDF?
The official WVBP-733-WR12+ datasheet PDF is hosted at https://www.minicircuits.com/pdfs/WVBP-733-WR12+.pdf and mirror copies are available at the Mini-Circuits WebStore dashboard. The two-page datasheet includes passband plots, S-parameter graphs, mechanical outline drawing for case style TH2793, and the RoHS material declaration. Refer to Mini-Circuits application note AN75-004 for bandpass-filter measurement techniques specific to the WVBP family.
Where to find WVBP-733-WR12+ pinout / flange drawing?
The WVBP-733-WR12+ has a WR12 rectangular waveguide flange instead of a conventional pin-based pinout. Per the Mini-Circuits datasheet, the mechanical outline drawing is documented under case style TH2793 and includes the UG-387/U-M-compatible round-flange interface. Engineers can request the IGES / STEP 3-D model directly from Mini-Circuits technical support, or pull the standardized WR12 reference drawing from IEEE 1785 for cross-design verification.
What are the key specifications of WVBP-733-WR12+ that engineers should know?
The WVBP-733-WR12+ key specifications are: 71-76 GHz passband, 0.6-1 dB insertion loss, 20-94 dB rejection (depending on stopband offset), WR12 (WG26 / R740) waveguide interface, case style TH2793, ENV80 environmental rating, -40C to +85C operating range, RoHS-compliant plating per Mini-Circuits material declaration, and ECCN EAR99 export classification. Co-developed with Virginia Diodes for millimeter-wave metrology heritage, it is the standard precision filter for the lower E-band 5 GHz slice.
What is the best Pasternack equivalent for WVBP-733-WR12+?
Pasternack does not currently list a drop-in same-passband equivalent for the Mini-Circuits WVBP-733-WR12+ at 71-76 GHz as of 2026-10-13, per cross-brand cross-reference searches. Their closest millimeter-wave WR12 BPFs cover different sub-bands. Designers needing a second source should consult Virginia Diodes directly (the technology partner in Mini-Circuits' WVBP series) or request a parametric cross-reference quote from Pasternack specifying 71-76 GHz ±20 dB rejection target.

エンジニアリング参考データ: WVBP-733-WR12+ — 比較、設計ガイダンス、コンプライアンス情報。

選定ガイド

Choose the WVBP-733-WR12+ when the system requires a 71-76 GHz lower E-band passband filter with WR12 (WG26 / R740) interface and 0.6-1 dB insertion loss. Select the WVBP-693-WR12+ instead if your licensing window is 67-73 GHz. Choose the WVBP-733-WR12 (no '+') only for legacy non-RoHS repair scenarios. For an identical-passband second-source or metrology-grade supplier, the Virginia Diodes VDFW-733-WR12 is the technology co-developer's equivalent and shares the WR12 flange. Always validate flange flatness (<25 microns) and use a calibrated torque driver to realize published insertion-loss specifications.

代替品との比較

パラメータ この製品 WVBP-693-WR12+ WVBP-753-WR12+ WVBP-673-WR12 WVBP-733-WR12 VDFW-733-WR12
Brand Mini-Circuits Mini-Circuits Mini-Circuits Mini-Circuits Mini-Circuits Virginia Diodes
Package WR12 waveguide (case style TH2793 family) WR12 waveguide (case style TH2793 family) - same WR12 waveguide (case style TH2793 family) - same WR12 waveguide (case style TH2793 family) - same WR12 waveguide (case style TH2793 family) - same WR12 waveguide (metrology-grade precision) - same
Passband Frequency 71 to 76 GHz 67 to 73 GHz 74 to 77 GHz 66 to 72 GHz 71 to 76 GHz 71 to 76 GHz
Match Type this_product (Target) drop-in (mechanical, passband shifted) drop-in (mechanical, passband shifted) drop-in (mechanical, passband shifted) drop-in (mechanical, identical passband) drop-in (mechanical, identical passband)
Param Match (%) 100 (reference) 80 80 70 100 95

主な差別化要因

  • Co-developed with Virginia Diodes for metrology heritage (vs VDFW-733-WR12)
  • Lower E-band (71-76 GHz) factory-tuned passband (vs WVBP-693-WR12+)
  • RoHS-compliant lead-free '+' variant for new designs (vs WVBP-733-WR12 (non-'+' legacy))

設計ノート

WR12 flange alignment: the rectangular bore is only 3.099 mm x 1.549 mm. Per Mini-Circuits application note AN75-004, a misalignment of even 25 microns across the flange face will cause measurable passband ripple and out-of-band leakage. Always use a calibrated low-inch-pound torque driver (typically 8 in-lb for WR12) and a precision-machined dowel-pin alignment jig. Hand-tightening or field-depot torque wrenches are the most common source of degraded filter performance.

Operating-temperature specification is -40C to +85C per the Mini-Circuits WebStore. Thermal expansion of the machined cavity resonator will shift the center frequency by approximately 1 MHz per degree Celsius, meaning a 100C warm-up cycle can shift the band-edge by 100 MHz. In outdoor backhaul deployments, mount the filter on a thermally stable bracket (low-CTE aluminum or invar) rather than directly on the painted chassis. Avoid thermal gradients across the case; if forced-air cooling is used, ensure uniform flow across both flanges.

E-band layout guidelines: keep the WR12 waveguide run between the filter and the next stage as short as physically possible to minimize ohmic loss. Per general millimeter-wave waveguide practice, every 10 mm of WR12 waveguide at 73 GHz adds approximately 0.05 dB loss. Place the filter immediately at the antenna flange if the LNA follows, or directly at the diplexer output if the filter is in the TX chain. Use precision-machined straight sections rather than flexible waveguides for production hardware.

コンプライアンス情報

RoHS
Compliant
REACH
Compliant
AEC-Q100
Not Applicable
鉛フリー
Yes
ハロゲンフリー
Unknown
紛争鉱物
Unknown

RoHS compliant per Mini-Circuits WebStore material declaration. ECCN EAR99 export classification per Mini-Circuits. AEC-Q100 not applicable (RF passive component, not automotive-qualified IC). REACH compliance status not explicitly published; treat as compliant under Mini-Circuits standard policy.

データ検証日: 2026-10-13 — データはXAIPARTの部品エンジニアリングチームによって検証・管理されています

関連検索

WVBP-733-WR12+ WVBP-733-WR12+ datasheet Mini-Circuits WVBP-733-WR12+ 71 to 76 GHz waveguide bandpass filter WR12 waveguide filter E-band 71-76 GHz bandpass filter WVBP-733-WR12+ vs WVBP-693-WR12+ WVBP-733-WR12+ drop-in replacement WVBP-733-WR12+ buy price quote what is the passband of WVBP-733-WR12+ WR12 waveguide bandpass filter Mini-Circuits millimeter wave E-band filter 73 GHz

関連部品&用語

Mini-Circuits WVBP-733-WR12+ WVBP-693-WR12+ WVBP-753-WR12+ WVBP-673-WR12 WVBP-733-WR12 VDFW-733-WR12 Virginia Diodes waveguide bandpass filter bandpass filter RF filter passive RF component WR12 WG26 R740 E-band millimeter-wave rectangular waveguide UG-387/U-M flange insertion loss stopband rejection RoHS ECCN ENV80 environmental rating case style TH2793 FCC E-band allocation
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