ABRAXAS PETROLEUM CORP
8-A12B/A, 1998-08-24
CRUDE PETROLEUM & NATURAL GAS
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                       SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C. 20549

                               FORM 8-A/A NUMBER 2


                FOR REGISTRATION OF CERTAIN CLASSES OF SECURITIES
                     PURSUANT TO SECTION 12(b) OR (g) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                          ABRAXAS PETROLEUM CORPORATION
               (Exact name of issuer as specified in its charter)

  NEVADA                                                74-2584033
 (State or other jurisdiction of                     (I.R.S. Employer 
 incorporation or  organization)                    Identification No.) 
                                 

          500 North Loop 1604 East, Suite 100, San Antonio, Texas 78232
               (Address of principal executive offices) (Zip Code)

If this Form relates to the  registration  of a class of debt  securities and is
effective upon filing pursuant to General Instruction A(c)(1),  please check the
following box. [ ]

If this Form relates to the  registration  of class of debt securities and is to
become  effective   simultaneously   with  the  effectiveness  of  a  concurrent
registration  statement under the Securities Act of 1933 pursuant to the General
Instruction A(c)(2), please check the following box. [ ]

        Securities to be registered pursuant to Section 12(b) of the Act:

                                      None
                       -----------------------------------
                                (Title of Class)

        Securities to be registered pursuant to Section 12(g) of the Act:

Title of each class                            Name of each exchange on which
to be so registered                           each class is to be registered

Common Stock Purchase Rights                         NASDAQ Stock Market


<PAGE>

Item 1.  Description of Registrant's Securities to be Registered.

         Reference  is  hereby  made  to  the  Form  8-A  of  Abraxas  Petroleum
Corporation (the "Registrant") filed with the Securities and Exchange Commission
(the  "Commission")  on December 7, 1994, as amended by Amendment No. 1 filed on
August 20, 1997 with the Commission  which are hereby  incorporated by reference
herein.

         The Registrant executed Amendment No. 2 (the "Amendment"),  dated as of
May 22, 1998, to the Rights Agreement,  dated as of December 6, 1994, as amended
by Amendment No. 1 dated July 14, 1997 between the Registrant and American Stock
Transfer & Trust  Company as  successor  to First Union  National  Bank of North
Carolina,  as Rights  Agent.  Capitalized  terms used  herein and not  otherwise
defined  shall have the meanings  ascribed to them in the Rights  Agreement,  as
amended.

         As more fully set forth in the Amendment,  the Amendment  increased the
number of shares for which each Right may be exercised  from  one-half  share to
one share.  The  exercise  price for each Right  remained at $40 per share.  The
Amendment also provides that Persons who acquire shares of Abraxas' Common Stock
who  certify  that they  inadvertently  acquired in excess of 20% (but less than
23%) of the Common Stock or did so without  knowledge of the terms of the Rights
will  not  be  considered   Acquiring  Persons  if  they  do  not  make  further
acquisitions.

         A copy  of  the  Amendment  is  attached  hereto  as  Exhibit  1 and is
incorporated herein by reference.  The foregoing  discussion does not purport to
be complete and is qualified in its entirety by reference to such Exhibit.

Item 2.  Exhibits.

          1.  Amendment  to No. 2 Rights  Agreement,  dated as of May 22,  1998,
between  Abraxas  Petroleum  Corporation  and  American  Stock  Transfer & Trust
Company, as Rights Agent.



                                       2
<PAGE>



                                   SIGNATURES


         Pursuant to the  requirements of Section 12 of the Securities  Exchange
Act of 1934, the  Registrant has duly caused this amendment to the  registration
statement  to  be  signed  on  its  behalf  by  the  undersigned  hereunto  duly
authorized.


                               ABRAXAS PETROLEUM CORPORATION


                               By:      /s/ Chris E. Williford
                                  Chris E. Williford, Executive Vice President,
                                  Chief Financial Officer and Treasurer

Dated: August 24, 1998



                                       3
<PAGE>



                                  EXHIBIT INDEX

                                                                Sequentially 
Number           Document                                       Numbered Page

  1.              Amendment  No. 2 to Rights  Agreement,
                  dated as of May 22, 1998,  between Abraxas
                  Petroleum  Corporation  and American Stock
                  Transfer & Trust Company as Rights Agent



                                        4
<PAGE>
                                                                      EXHIBIT 1

                      SECOND AMENDMENT TO RIGHTS AGREEMENT


         This Second Amendment to Rights Agreement ("Amendment") dated as of May
22, 1998 to that  certain  Rights  Agreement  dated as of  December 6, 1994,  as
amended by that certain  Amendment to Rights Agreement dated as of July 14, 1997
(as so amended, the "Rights Agreement"),  between Abraxas Petroleum Corporation,
a Nevada  corporation  (the  "Company"),  and  American  Stock  Transfer & Trust
Company, as successor to First Union National Bank of North Carolina,  as rights
agent (the "Rights Agent").

                              W I T N E S S E T H:

         WHEREAS,  the Rights Agreement  currently  provides that each Right (as
defined in the Rights  Agreement)  represents the right to purchase,  initially,
one-half of one share of Common Stock (as defined in the Rights  Agreement) upon
the terms and subject to the conditions set forth therein;

         WHEREAS,  pursuant to and in  compliance  with Section 27 of the Rights
Agreement, the Company and the Rights Agent desire to amend the Rights Agreement
as set forth in this  Amendment  to provide,  inter alia,  that each Right shall
represent the right to purchase, initially, one share of Common Stock;

         NOW,  THEREFORE,  in  consideration  of the  premises  and  the  mutual
agreements  set forth  herein and in the Rights  Agreement,  the parties  hereto
agree as follows:

         1. All  references in the Rights  Agreement to the "Rights Agent" shall
be deemed to refer to American Stock  Transfer & Trust Company,  as successor to
First Union National Bank of North Carolina.

         2.  Section 1(a) of the Rights  Agreement is hereby  amended to read in
its entirety as follows:

         (a)  "Acquiring  Person"  means  any  Person  who,  together  with  all
"Affiliates" and  "Associates" of such Person,  shall be the Beneficial Owner of
20% or more of the  shares of Common  Stock  then  outstanding  or shall  make a
tender  offer or an exchange  offer  (other than a  Qualifying  Tender Offer (as
defined in Section  11(a)(ii)  hereof))  for 20% or more of the shares of Common
Stock then  outstanding.  The term "Acquiring  Person" shall not include (i) the
Company,  any of its  subsidiaries,  any employee benefit plan of the Company or
any of its Subsidiaries or any Person organized, appointed or established by the
Company  or any of its  Subsidiaries  for or  pursuant  to the terms of any such
plan, (ii) any Person that has reported or is required to report such beneficial
ownership  (but less than 23%) on Schedule 13G (or any  comparable  or successor
report)  or on  Schedule  13D  under  the  Exchange  Act (or any  comparable  or


<PAGE>

successor  report) under the Exchange Act, which Schedule 13D does not state any
intention to, or reserve the right to,  control or influence  the  management or
policies of the Company or engage in any of the actions  specified  in Item 4 of
such Schedule 13D (other than the  disposition of the Common Stock) and,  within
five (5) Business Days of being  requested by the Company to advise it regarding
the  same,  certifies  to the  Company  that  such  Person  acquired  beneficial
ownership of shares of Common Stock in excess of 19.9%  inadvertently or without
knowledge of the terms of the Rights and such  certification is accepted as true
by the  Board  of  Directors  and  that,  together  with  all of  such  Person's
Affiliates and  Associates,  thereafter  does not acquire  additional  shares of
Common Stock while the  Beneficial  Owner of 20% or more of the shares of Common
Stock then outstanding;  provided,  however,  that if the Person requested to so
certify fails to do so within five Business  Days,  then such Person will become
an Acquiring Person  immediately after such five  Business-Day  Period; or (iii)
any Person who or which,  together with all  Affiliates  and  Associates of such
Person,  would  be an  Acquiring  Person  solely  by  reason  of (A)  being  the
Beneficial  Owner of shares  of  Common  Stock of the  Company,  the  Beneficial
Ownership  of which  was  acquired  by such  Person  pursuant  to any  action or
transaction or series of related actions or  transactions  approved by the Board
of Directors  before such Person  otherwise  became an Acquiring Person or (B) a
reduction in the number of issued and outstanding  shares of Common Stock of the
Company pursuant to a transaction or a series of related  transactions  approved
by the Board of Directors; provided, however, that in the event that such Person
described in the foregoing  clause (iii) does not become an Acquiring  Person by
reason  of  subclause  (A)  or (B) of  said  clause  (iii),  such  Person  shall
nonetheless  become an  Acquiring  Person in the event  such  Person  thereafter
acquires  Beneficial  Ownership of any additional  shares of the Common Stock of
the Company (other than as a result of a stock split or stock  dividend  payable
to all holders of the Common Stock) while such Person is the Beneficial Owner of
20% or  more  of the  shares  of  Common  Stock  then  outstanding,  unless  the
acquisition  of such  additional  Common  Stock  would not result in such Person
becoming an Acquiring  Person by reason of  subclause  (A) or (B) of said clause
(ii). Any determination  made by the Board of Directors as to whether any Person
is or is not an  Acquiring  Person  shall be  conclusive  and  binding  upon all
holders of Rights.

         3.  Section 1(m) of the Rights  Agreement is hereby  amended to read in
its entirety as follows:

         (m) "Purchase Price" means the price (subject to adjustment as provided
herein)  at which a holder of a Right  may  purchase  one share of Common  Stock
(subject to adjustment as provided herein) upon exercise of a Right, which price
shall initially be $40.00 per share.

         4. Section  11(a)(ii) of the Rights Agreement is hereby amended to read
in its entirety as follows:

                  (ii) If any Person,  alone or together with its Affiliates and
Associates,  shall,  at any time  after  the date of this  Agreement,  become an


                                       2
<PAGE>
Acquiring  Person,  unless the event  causing such person to become an Acquiring
Person is a Qualifying Tender Offer then, subject to the Board's right to redeem
the Rights  set forth in  Section  23(a) and  except as  otherwise  provided  in
Section 11,  proper  provision  shall  promptly be made so that,  in lieu of the
number of shares of Common Stock the holder was entitled to receive  immediately
prior to the first  occurrence of a Section  11(a)(ii)  Event,  each holder of a
Right shall  (except as  otherwise  provided  herein,  including  Section  7(d))
thereafter  be  entitled  to receive,  upon  exercise  thereof by payment to the
Company of the  aggregate  Purchase  Price for all  shares of the  Common  Stock
covered by the Rights  exercised by such holder in effect  immediately  prior to
the  first  occurrence  of a  Section  11(a)(ii)  Event,  such  number  of  duly
authorized,  validly issued, fully paid and nonassessable shares of Common Stock
of  the  Company  (such  number  of  shares  being  referred  to  herein  as the
"Adjustment Shares") as shall be equal to the result obtained by

                  (x) multiplying the Purchase Price in effect immediately prior
to the first occurrence of a Section  11(a)(ii) Event by the number of shares of
Common Stock for which a Right was exercisable  immediately  prior to such first
occurrence and

                  (y) dividing  that product by 50% of the current  market price
(determined  pursuant to Section 11(d)(i)) per share of Common Stock on the date
of such first occurrence;

provided that if the transaction that would otherwise give rise to the foregoing
adjustment  is also  subject  to the  provisions  of Section  13,  then only the
provisions of Section 13 shall apply and no adjustment shall be made pursuant to
this Section 11(a)(ii).

         5. Section 11(g) of the Rights  Agreement is hereby  amended to read in
its entirety as follows:

         (g) All  Rights  originally  issued by the  Company  subsequent  to any
adjustment made hereunder shall evidence the right to purchase,  at the Purchase
Price then in effect,  the then applicable  number of shares of Common Stock and
other capital stock of the Company  issuable  from time to time  hereunder  upon
exercise of the Rights, all subject to further adjustment as provided herein.

         6. Section  13(a)(B) of the Rights  Agreement is hereby amended to read
in its entirety as follows:

         (B) each  holder of a Right  shall  thereafter  be entitled to receive,
upon payment to the Company of the  aggregate  Purchase  Price for all shares of
the  Common  Stock  covered  by the Rights  exercised  by such  holder in effect
immediately  prior to the first occurrence of any Triggering  Event, such number
of duly  authorized,  validly  issued,  fully paid and  nonassessable  shares of
freely tradable  Common Stock of the Principal  Party (as hereinafter  defined),
not subject to any rights of call or first refusal, liens, encumbrances or other
claims, as shall be equal to the result obtained by

                                       3
<PAGE>

                  (x) multiplying the Purchase Price in effect immediately prior
         to the first occurrence of any Triggering Event by the number of shares
         of Common Stock for which a Right was exercisable  immediately prior to
         such first occurrence and

                  (y) dividing  that product by 50% of the current  market price
         (determined pursuant to Section 11(d)(i)) per share of the Common Stock
         of  such  Principal   Party  on  the  date  of   consummation  of  such
         consolidation, merger, combination, sale or transfer;

         7. Section 24(a) of the Rights  Agreement is hereby  amended to read in
its entirety as follows:

         (a) At any time after any Person becomes an Acquiring Person, the Board
of Directors of the Company may, at its option, exchange all or part of the then
outstanding  and  exercisable  Rights (which shall not include  Rights that have
become void  pursuant to Section 7(d)) for shares of Common Stock at an exchange
ratio of one share of Common Stock per Right,  appropriately adjusted to reflect
any stock split, stock dividend or similar transaction  occurring after the date
hereof  (such  exchange  ratio being  hereinafter  referred to as the  "Exchange
Ratio").  Notwithstanding  the  foregoing,  the Board of Directors  shall not be
empowered to effect such  exchange at any time after any Person  (other than the
Company,  any of its  Subsidiaries,  any employee benefit plan of the Company or
any of its Subsidiaries or any Person organized, appointed or established by the
Company  or any of its  Subsidiaries  for or  pursuant  to the terms of any such
plan),  together with all Affiliates and Associates of such Person,  becomes the
Beneficial Owner of 50% or more of the shares of Common Stock then outstanding.

         8. The Form of Rights  Certificate  attached to the Rights Agreement as
Exhibit A is hereby  amended to read in its  entirety  as set forth on Exhibit A
attached hereto.

         9. This Amendment shall be governed by and construed in accordance with
the laws of the State of Nevada  except that the rights and  obligations  of the
Rights Agent shall be governed by the laws of the State of New York.

         10. This  Amendment  may be executed in  counterparts  and each of such
counterparts  shall for all purposes be deemed to be an original,  and both such
counterparts shall together constitute but one and the same instrument.

         11. Except as expressly set forth herein,  this Amendment  shall not by
implication or otherwise  alter,  modify,  amend or in any way affect any of the
terms, conditions,  obligations, covenants or agreements contained in the Rights
Agreement,  all of which are  ratified  and  affirmed in all  respects and shall
continue in full force and effect.


                                       4
<PAGE>
         IN WITNESS WHEREOF, the parties hereto have caused this Amendment to be
duly executed and attested, all as of the day and year first above written.



                                ABRAXAS PETROLEUM CORPORATION


                                By: /s/Chris E. Williford
                                   Chris E. Williford, Executive Vice President,
                                   Chief Financial Officer and Treasurer

                                500 North Loop 1604 East, Suite 100
                                San Antonio, Texas 78232


                                AMERICAN STOCK TRANSFER &
                                  TRUST COMPANY

                                By: /s/  Herbert J. Lemmer
                                Name: Herbert J. Lemmer
                                Title:   Vice President

                                40 Wall Street
                                New York, New York 10005


                                       5
<PAGE>
                                                                      Exhibit A

                          [Form of Rights Certificate]


No. R-                                                           ________Rights



         NOT  EXERCISABLE  AFTER THE EARLIER OF , 2004 AND THE DATE ON WHICH THE
         RIGHTS EVIDENCED HEREBY ARE REDEEMED OR EXCHANGED BY THE COMPANY AS SET
         FORTH IN THE RIGHTS  AGREEMENT.  AS SET FORTH IN THE RIGHTS  AGREEMENT,
         RIGHTS  ISSUED  TO, OR HELD BY,  ANY  PERSON  WHO IS, WAS OR BECOMES AN
         ACQUIRING  PERSON OR AN AFFILIATE  OR ASSOCIATE  THEREOF (AS SUCH TERMS
         ARE DEFINED IN THE RIGHTS  AGREEMENT),  WHETHER CURRENTLY HELD BY OR ON
         BEHALF OF SUCH  PERSON  OR BY ANY  SUBSEQUENT  HOLDER,  MAY BE NULL AND
         VOID.  [THE RIGHTS  REPRESENTED BY THIS RIGHTS  CERTIFICATE ARE OR WERE
         BENEFICIALLY OWNED BY A PERSON WHO WAS OR BECAME AN ACQUIRING PERSON OR
         AN AFFILIATE OR AN ASSOCIATE OF AN ACQUIRING  PERSON (AS SUCH TERMS ARE
         DEFINED IN THE  RIGHTS  AGREEMENT).  THIS  RIGHTS  CERTIFICATE  AND THE
         RIGHTS  REPRESENTED  HEREBY MAY BE OR MAY  BECOME  NULL AND VOID IN THE
         CIRCUMSTANCES SPECIFIED IN SECTION 7(d) OF THE RIGHTS AGREEMENT.]*

                               RIGHTS CERTIFICATE

                          ABRAXAS PETROLEUM CORPORATION


This Rights  Certificate  certifies  that  _____________________  or  registered
assigns,  is the registered holder of the number of Rights set forth above, each
of which  entitles the holder (upon the terms and subject to the  conditions set
forth in the Rights  Agreement  dated as of December 6, 1994,  and amended as of
July 14,  1997,  and May 22,  1998 (the  "Rights  Agreement"),  between  Abraxas
Petroleum Corporation,  a Nevada corporation (the "Company"), and American Stock
Transfer & Trust Company  ("Agent")  (the "Rights  Agent")) to purchase from the
Company,  at any time after the  Distribution  Date and prior to the  Expiration
Date, one fully paid,  nonassessable  share of Common Stock (the "Common Stock")
of the  Company  at a purchase  price of $40.00  per share of Common  Stock (the
"Purchase Price"), payable in lawful money of the United States of America, upon
surrender of this Rights Certificate,  with the form of election to purchase and

- --------
* If applicable, insert the legend but delete the preceding sentence.

                                      A-1
<PAGE>
related  certificate  duly  executed,  and payment of the  Purchase  Price at an
office of the Rights Agent designated for such purpose.

         Terms used herein and not  otherwise  defined  herein have the meanings
assigned to them in the Rights Agreement.

         The number of Rights  evidenced  by this  Rights  Certificate  (and the
number and kind of shares issuable upon exercise of each Right) and the Purchase
Price set forth above are as of May 22, 1998, and may have been or in the future
be  adjusted  as a result of the  occurrence  of certain  events,  as more fully
provided in the Rights Agreement.

         Upon  the  occurrence  of a  Section  11(a)(ii)  Event,  if the  Rights
evidenced by this Rights  Certificate are beneficially owned by (a) an Acquiring
Person or an Associate or Affiliate of an Acquiring Person,  (b) a transferee of
a Acquiring Person (or any such Associate or Affiliate) who becomes a transferee
after the Acquiring  Person  becomes  such,  or (c) under certain  circumstances
specified in the Rights  Agreement,  a transferee of an Acquiring Person (or any
such Associate or Affiliate) who becomes a transferee  prior to or  concurrently
with the Acquiring Person becoming such, such Rights shall become null and void,
and no holder  hereof  shall have any right with respect to such Rights from and
after the occurrence of such Section 11(a)(ii) Event.

         This Rights Certificate is subject to all of the terms,  provisions and
conditions of the Rights Agreement,  which terms,  provisions and conditions are
hereby  incorporated  herein by  reference  and made a part  hereof and to which
Rights Agreement  reference is hereby made for a full description of the rights,
limitations  of rights,  obligations,  duties and  immunities  hereunder  of the
Rights  Agent,  the Company and the  holders of the Rights  Certificates,  which
limitations of rights include the temporary  suspension of the exercisability of
such Rights under the specific circumstances set forth in the Rights Agreement.

         Upon  surrender at the principal  office or offices of the Rights Agent
designated for such purpose and subject to the terms and conditions set forth in
the Rights Agreement,  any Rights Certificate or Certificates may be transferred
or exchanged for another Rights  Certificate or  Certificates  evidencing a like
number of Rights as the Rights Certificate or Certificates surrendered.

         Subject  to the  provisions  of the  Rights  Agreement,  the  Board  of
Directors of the Company may, at its option,

                  (a) at any  time  prior  to the  earlier  of (i) the  close of
         business  on the tenth day  after the Stock  Acquisition  Date (or such
         later date as a majority of the Board of Directors may designate  prior
         to such time as the Rights are no longer redeemable) and (ii) the Final
         Expiration Date,  redeem all but not less than all the then outstanding
         Rights at a redemption price of $.01 per Right; or

                                      A-2
<PAGE>
                  (b) at any time after any Person  becomes an Acquiring  Person
         (but before such Person becomes the Beneficial  Owner of 50% or more of
         the shares of Common Stock then  outstanding),  exchange all or part of
         the then  outstanding  Rights  (other than Rights held by the Acquiring
         Person and certain  related  Persons)  for shares of Common Stock at an
         exchange  ratio of one share of Common  Stock per Right.  If the Rights
         shall be exchanged in part, the holder of this Rights Certificate shall
         be entitled to receive upon surrender hereof another Rights Certificate
         or Certificates for the number of whole Rights not exchanged.

         No  fractional  shares of Common Stock will be issued upon the exercise
of any Right or Rights  evidenced hereby but in lieu thereof a cash payment will
be made, as provided in the Rights Agreement.  If this Rights  Certificate shall
be  exercised in part,  the holder  shall be entitled to receive upon  surrender
hereof another Rights Certificate or Certificates for the number of whole Rights
not exercised.

         No holder of this Rights Certificate shall be entitled to vote, receive
dividends or be deemed for any purpose the holder of the shares of capital stock
which may at any time be issuable on the  exercise  hereof,  nor shall  anything
contained  in the Rights  Agreement  or herein be  construed  to confer upon the
holder hereof, as such, any of the rights of a stockholder of the Company or any
right to vote for the  election of  directors  or upon any matter  submitted  to
stockholders  at any  meeting  thereof,  or to give or  withhold  consent to any
corporate  action,  or, to receive notice of meetings or other actions affecting
stockholders  (except  as  provided  in the  Rights  Agreement),  or to  receive
dividends  or  subscription  rights,  or  otherwise,  until  the Right or Rights
evidenced by this Rights  Certificate  shall have been  exercised as provided in
the Rights Agreement.

         This  Rights  Certificate  shall  not be  valid or  obligatory  for any
purpose until it shall have been countersigned by the Rights Agent.

                                      A-3
<PAGE>

         IN WITNESS  WHEREOF,  the Company has caused this instrument to be duly
executed under its corporate seal by its authorized officers.

         Dated as of ___________

                                    ABRAXAS PETROLEUM CORPORATION


                                    By:______________________________
                                    Title:___________________________
[SEAL]


Attest:


_________________________
Secretary



Countersigned:


AMERICAN STOCK TRANSFER & TRUST COMPANY
as Rights Agent


By:_____________________________
     Authorized Signature




                                      A-4
<PAGE>


                   Form of Reverse Side of Rights Certificate


                               FORM OF ASSIGNMENT

                    (To be executed if the registered holder
                  desires to transfer the Rights Certificate.)

FOR VALUE RECEIVED_________________________________________________________
hereby sells, assigns and transfers unto___________________________________
___________________________________________________________________________
                  (Please print name and address of transferee)

this Rights  Certificate,  together with all right,  title and interest therein,
and does hereby irrevocably constitute and appoint ________________ Attorney, to
transfer the within Rights Certificate on the books of the within-named Company,
with full power of substitution.

Dated:_______________________


                                    ______________________________________
                                    Signature

Signature Guaranteed:




                                      A-5
<PAGE>

                                   Certificate


         The  undersigned  hereby  certifies by checking the  appropriate  boxes
that:

         (1) The Rights evidenced by this Rights  Certificate___________ are not
being assigned by or on behalf of a Person who is or was an Acquiring  Person or
an  Affiliate  or  Associate  of any such  Acquiring  Person  (as such terms are
defined in the Rights Agreement);

         (2) after due inquiry and to the best knowledge of the undersigned,  it
did not acquire the Rights evidenced by this Rights  Certificate from any Person
who is, was or became an  Acquiring  Person or an  Affiliate  or Associate of an
Acquiring Person.

         Dated:________________________           ____________________________
                                                              Signature




         The  signatures  to  the  foregoing  Assignment  and  Certificate  must
correspond  to the name as written upon the face of this Rights  Certificate  in
every particular, without alteration or enlargement or any change whatsoever.




                                      A-6
<PAGE>
                          FORM OF ELECTION TO PURCHASE

         (To be executed if the registered  holder desires to  exercise_________
Rights represented by the Rights Certificate.)

To:  ABRAXAS PETROLEUM CORPORATION


         The  undersigned  hereby  irrevocably  elects to  exercise  ___________
Rights represented by this Rights Certificate to purchase shares of Common Stock
issuable  upon the  exercise  of the  Rights (or such  other  securities  of the
Company or of any other  person  which may be issuable  upon the exercise of the
Rights) and requests that certificates for such securities be issued in the name
of and delivered to:

Please insert social security
or other identifying number

________________________________________________________________________________
                         (Please print name and address)

         If such number of Rights shall not be all the Rights  evidenced by this
Rights  Certificate,  a new Rights  Certificate  for the  balance of such Rights
shall be registered in the name of and delivered to:

Please insert social security
or other identifying number

________________________________________________________________________________
                         (Please print name and address)

Dated:________________________

                                    ___________________________________
                                    Signature
Signature Guaranteed:



                                      A-7
<PAGE>
                                   Certificate

         The  undersigned  hereby  certifies by checking the  appropriate  boxes
that:

         (1) the Rights evidenced by this Rights  Certificate  ______ are ______
are not being  exercised  by or on behalf of a Person who is or was an Acquiring
Person or an Affiliate or Associate of any such Acquiring  Person (as such terms
are defined in the Rights Agreement);

         (2) after due inquiry and to the best knowledge of the undersigned,  it
did not acquire the Rights evidenced by this Rights  Certificate from any Person
who is, was or became an  Acquiring  Person or an  Affiliate  or Associate of an
Acquiring Person.

Dated:____________________        ________________________________________
                                    Signature



         The  signature to the  foregoing  Election to Purchase and  Certificate
must correspond to the name as written upon the face of this Rights  Certificate
in every particular, without alteration or enlargement or any change whatsoever.







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